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Finding the Fourth Proportional to 695.97, 959.52 and 499.14

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Solution

The fourth proportional to 695.97, 959.52 and 499.14 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.97 : 959.52 = 499.14 : x
  2. Step 2: Convert to fraction form
    695.97/959.52 = 499.14/x
  3. Step 3: Cross multiply
    695.97x = 959.52 × 499.14
  4. Step 4: Simplify right side
    695.97x = 478,934.81
  5. Step 5: Solve for x
    x = 478,934.81/695.97
  6. Step 6: Final answer
    x = 688.15

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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.