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Finding the Fourth Proportional to 506.62, 763.37 and 417.31

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Solution

The fourth proportional to 506.62, 763.37 and 417.31 is: 628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.62 : 763.37 = 417.31 : x
  2. Step 2: Convert to fraction form
    506.62/763.37 = 417.31/x
  3. Step 3: Cross multiply
    506.62x = 763.37 × 417.31
  4. Step 4: Simplify right side
    506.62x = 318,561.93
  5. Step 5: Solve for x
    x = 318,561.93/506.62
  6. Step 6: Final answer
    x = 628.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.