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Finding the Fourth Proportional to 439.05, 657.27 and 284.52

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Solution

The fourth proportional to 439.05, 657.27 and 284.52 is: 425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.05 : 657.27 = 284.52 : x
  2. Step 2: Convert to fraction form
    439.05/657.27 = 284.52/x
  3. Step 3: Cross multiply
    439.05x = 657.27 × 284.52
  4. Step 4: Simplify right side
    439.05x = 187,006.46
  5. Step 5: Solve for x
    x = 187,006.46/439.05
  6. Step 6: Final answer
    x = 425.93

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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.