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Finding the Fourth Proportional to 782.11, 1,078.98 and 502.26

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Solution

The fourth proportional to 782.11, 1,078.98 and 502.26 is: 692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.11 : 1,078.98 = 502.26 : x
  2. Step 2: Convert to fraction form
    782.11/1,078.98 = 502.26/x
  3. Step 3: Cross multiply
    782.11x = 1,078.98 × 502.26
  4. Step 4: Simplify right side
    782.11x = 541,928.49
  5. Step 5: Solve for x
    x = 541,928.49/782.11
  6. Step 6: Final answer
    x = 692.91

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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.