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Finding the Fourth Proportional to 782.49, 1,079.02 and 502.54

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Solution

The fourth proportional to 782.49, 1,079.02 and 502.54 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.49 : 1,079.02 = 502.54 : x
  2. Step 2: Convert to fraction form
    782.49/1,079.02 = 502.54/x
  3. Step 3: Cross multiply
    782.49x = 1,079.02 × 502.54
  4. Step 4: Simplify right side
    782.49x = 542,248.64
  5. Step 5: Solve for x
    x = 542,248.64/782.49
  6. Step 6: Final answer
    x = 692.98

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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.