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Finding the Fourth Proportional to 782.30, 1,078.80 and 502.49

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Solution

The fourth proportional to 782.30, 1,078.80 and 502.49 is: 692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.30 : 1,078.80 = 502.49 : x
  2. Step 2: Convert to fraction form
    782.30/1,078.80 = 502.49/x
  3. Step 3: Cross multiply
    782.30x = 1,078.80 × 502.49
  4. Step 4: Simplify right side
    782.30x = 542,086.21
  5. Step 5: Solve for x
    x = 542,086.21/782.30
  6. Step 6: Final answer
    x = 692.94

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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.