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Finding the Fourth Proportional to 497.99, 748.13 and 470.31

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Solution

The fourth proportional to 497.99, 748.13 and 470.31 is: 706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.99 : 748.13 = 470.31 : x
  2. Step 2: Convert to fraction form
    497.99/748.13 = 470.31/x
  3. Step 3: Cross multiply
    497.99x = 748.13 × 470.31
  4. Step 4: Simplify right side
    497.99x = 351,850.67
  5. Step 5: Solve for x
    x = 351,850.67/497.99
  6. Step 6: Final answer
    x = 706.55

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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.