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Finding the Fourth Proportional to 1,641.90, 2,464.45 and 821.10

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Solution

The fourth proportional to 1,641.90, 2,464.45 and 821.10 is: 1,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.90 : 2,464.45 = 821.10 : x
  2. Step 2: Convert to fraction form
    1,641.90/2,464.45 = 821.10/x
  3. Step 3: Cross multiply
    1,641.90x = 2,464.45 × 821.10
  4. Step 4: Simplify right side
    1,641.90x = 2,023,559.90
  5. Step 5: Solve for x
    x = 2,023,559.90/1,641.90
  6. Step 6: Final answer
    x = 1,232.45

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Half scale
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Double scale
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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.