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Finding the Fourth Proportional to 627.48, 865.24 and 417.69

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Solution

The fourth proportional to 627.48, 865.24 and 417.69 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 865.24 = 417.69 : x
  2. Step 2: Convert to fraction form
    627.48/865.24 = 417.69/x
  3. Step 3: Cross multiply
    627.48x = 865.24 × 417.69
  4. Step 4: Simplify right side
    627.48x = 361,401.05
  5. Step 5: Solve for x
    x = 361,401.05/627.48
  6. Step 6: Final answer
    x = 575.96

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.