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Finding the Fourth Proportional to 502.76, 751.98 and 431.48

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Solution

The fourth proportional to 502.76, 751.98 and 431.48 is: 645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.76 : 751.98 = 431.48 : x
  2. Step 2: Convert to fraction form
    502.76/751.98 = 431.48/x
  3. Step 3: Cross multiply
    502.76x = 751.98 × 431.48
  4. Step 4: Simplify right side
    502.76x = 324,464.33
  5. Step 5: Solve for x
    x = 324,464.33/502.76
  6. Step 6: Final answer
    x = 645.37

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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.