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Finding the Fourth Proportional to 695.72, 959.50 and 509.17

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Solution

The fourth proportional to 695.72, 959.50 and 509.17 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.72 : 959.50 = 509.17 : x
  2. Step 2: Convert to fraction form
    695.72/959.50 = 509.17/x
  3. Step 3: Cross multiply
    695.72x = 959.50 × 509.17
  4. Step 4: Simplify right side
    695.72x = 488,545.79
  5. Step 5: Solve for x
    x = 488,545.79/695.72
  6. Step 6: Final answer
    x = 702.21

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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.