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Finding the Fourth Proportional to 507.71, 761.33 and 233.88

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Solution

The fourth proportional to 507.71, 761.33 and 233.88 is: 350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 761.33 = 233.88 : x
  2. Step 2: Convert to fraction form
    507.71/761.33 = 233.88/x
  3. Step 3: Cross multiply
    507.71x = 761.33 × 233.88
  4. Step 4: Simplify right side
    507.71x = 178,059.86
  5. Step 5: Solve for x
    x = 178,059.86/507.71
  6. Step 6: Final answer
    x = 350.71

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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.