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Finding the Fourth Proportional to 1,645.22, 2,468.10 and 822.66

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Solution

The fourth proportional to 1,645.22, 2,468.10 and 822.66 is: 1,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.22 : 2,468.10 = 822.66 : x
  2. Step 2: Convert to fraction form
    1,645.22/2,468.10 = 822.66/x
  3. Step 3: Cross multiply
    1,645.22x = 2,468.10 × 822.66
  4. Step 4: Simplify right side
    1,645.22x = 2,030,407.15
  5. Step 5: Solve for x
    x = 2,030,407.15/1,645.22
  6. Step 6: Final answer
    x = 1,234.13

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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.