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Finding the Fourth Proportional to 502.72, 753.10 and 459.65

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Solution

The fourth proportional to 502.72, 753.10 and 459.65 is: 688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.72 : 753.10 = 459.65 : x
  2. Step 2: Convert to fraction form
    502.72/753.10 = 459.65/x
  3. Step 3: Cross multiply
    502.72x = 753.10 × 459.65
  4. Step 4: Simplify right side
    502.72x = 346,163.15
  5. Step 5: Solve for x
    x = 346,163.15/502.72
  6. Step 6: Final answer
    x = 688.58

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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.