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Finding the Fourth Proportional to 502.52, 692.98 and 334.20

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Solution

The fourth proportional to 502.52, 692.98 and 334.20 is: 460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.52 : 692.98 = 334.20 : x
  2. Step 2: Convert to fraction form
    502.52/692.98 = 334.20/x
  3. Step 3: Cross multiply
    502.52x = 692.98 × 334.20
  4. Step 4: Simplify right side
    502.52x = 231,593.92
  5. Step 5: Solve for x
    x = 231,593.92/502.52
  6. Step 6: Final answer
    x = 460.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.