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Finding the Fourth Proportional to 502.53, 692.65 and 354.90

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Solution

The fourth proportional to 502.53, 692.65 and 354.90 is: 489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.53 : 692.65 = 354.90 : x
  2. Step 2: Convert to fraction form
    502.53/692.65 = 354.90/x
  3. Step 3: Cross multiply
    502.53x = 692.65 × 354.90
  4. Step 4: Simplify right side
    502.53x = 245,821.49
  5. Step 5: Solve for x
    x = 245,821.49/502.53
  6. Step 6: Final answer
    x = 489.17

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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.