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Finding the Fourth Proportional to 1,644.10, 2,465.55 and 822.10

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Solution

The fourth proportional to 1,644.10, 2,465.55 and 822.10 is: 1,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.10 : 2,465.55 = 822.10 : x
  2. Step 2: Convert to fraction form
    1,644.10/2,465.55 = 822.10/x
  3. Step 3: Cross multiply
    1,644.10x = 2,465.55 × 822.10
  4. Step 4: Simplify right side
    1,644.10x = 2,026,928.66
  5. Step 5: Solve for x
    x = 2,026,928.66/1,644.10
  6. Step 6: Final answer
    x = 1,232.85

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.