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Finding the Fourth Proportional to 695.34, 959.13 and 499.14

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Solution

The fourth proportional to 695.34, 959.13 and 499.14 is: 688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.34 : 959.13 = 499.14 : x
  2. Step 2: Convert to fraction form
    695.34/959.13 = 499.14/x
  3. Step 3: Cross multiply
    695.34x = 959.13 × 499.14
  4. Step 4: Simplify right side
    695.34x = 478,740.15
  5. Step 5: Solve for x
    x = 478,740.15/695.34
  6. Step 6: Final answer
    x = 688.50

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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.