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Finding the Fourth Proportional to 781.95, 1,078.79 and 502.13

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Solution

The fourth proportional to 781.95, 1,078.79 and 502.13 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.95 : 1,078.79 = 502.13 : x
  2. Step 2: Convert to fraction form
    781.95/1,078.79 = 502.13/x
  3. Step 3: Cross multiply
    781.95x = 1,078.79 × 502.13
  4. Step 4: Simplify right side
    781.95x = 541,693.01
  5. Step 5: Solve for x
    x = 541,693.01/781.95
  6. Step 6: Final answer
    x = 692.74

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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.