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Finding the Fourth Proportional to 502.57, 692.91 and 443.83

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Solution

The fourth proportional to 502.57, 692.91 and 443.83 is: 611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.57 : 692.91 = 443.83 : x
  2. Step 2: Convert to fraction form
    502.57/692.91 = 443.83/x
  3. Step 3: Cross multiply
    502.57x = 692.91 × 443.83
  4. Step 4: Simplify right side
    502.57x = 307,534.25
  5. Step 5: Solve for x
    x = 307,534.25/502.57
  6. Step 6: Final answer
    x = 611.92

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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.