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Finding the Fourth Proportional to 698.47, 1,045.66 and 502.78

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Solution

The fourth proportional to 698.47, 1,045.66 and 502.78 is: 752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.47 : 1,045.66 = 502.78 : x
  2. Step 2: Convert to fraction form
    698.47/1,045.66 = 502.78/x
  3. Step 3: Cross multiply
    698.47x = 1,045.66 × 502.78
  4. Step 4: Simplify right side
    698.47x = 525,738.91
  5. Step 5: Solve for x
    x = 525,738.91/698.47
  6. Step 6: Final answer
    x = 752.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.