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Finding the Fourth Proportional to 502.35, 753.12 and 461.85

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Solution

The fourth proportional to 502.35, 753.12 and 461.85 is: 692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.35 : 753.12 = 461.85 : x
  2. Step 2: Convert to fraction form
    502.35/753.12 = 461.85/x
  3. Step 3: Cross multiply
    502.35x = 753.12 × 461.85
  4. Step 4: Simplify right side
    502.35x = 347,828.47
  5. Step 5: Solve for x
    x = 347,828.47/502.35
  6. Step 6: Final answer
    x = 692.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.