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Finding the Fourth Proportional to 514.96, 710.28 and 497.44

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Solution

The fourth proportional to 514.96, 710.28 and 497.44 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 710.28 = 497.44 : x
  2. Step 2: Convert to fraction form
    514.96/710.28 = 497.44/x
  3. Step 3: Cross multiply
    514.96x = 710.28 × 497.44
  4. Step 4: Simplify right side
    514.96x = 353,321.68
  5. Step 5: Solve for x
    x = 353,321.68/514.96
  6. Step 6: Final answer
    x = 686.11

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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.