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Finding the Fourth Proportional to 689.24, 951.98 and 502.44

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Solution

The fourth proportional to 689.24, 951.98 and 502.44 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.24 : 951.98 = 502.44 : x
  2. Step 2: Convert to fraction form
    689.24/951.98 = 502.44/x
  3. Step 3: Cross multiply
    689.24x = 951.98 × 502.44
  4. Step 4: Simplify right side
    689.24x = 478,312.83
  5. Step 5: Solve for x
    x = 478,312.83/689.24
  6. Step 6: Final answer
    x = 693.97

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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.