Home / 645.22-966.27-410.14

Finding the Fourth Proportional to 645.22, 966.27 and 410.14

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Solution

The fourth proportional to 645.22, 966.27 and 410.14 is: 614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.22 : 966.27 = 410.14 : x
  2. Step 2: Convert to fraction form
    645.22/966.27 = 410.14/x
  3. Step 3: Cross multiply
    645.22x = 966.27 × 410.14
  4. Step 4: Simplify right side
    645.22x = 396,302.17
  5. Step 5: Solve for x
    x = 396,302.17/645.22
  6. Step 6: Final answer
    x = 614.21

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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.