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Finding the Fourth Proportional to 487.71, 733.01 and 231.39

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Solution

The fourth proportional to 487.71, 733.01 and 231.39 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.71 : 733.01 = 231.39 : x
  2. Step 2: Convert to fraction form
    487.71/733.01 = 231.39/x
  3. Step 3: Cross multiply
    487.71x = 733.01 × 231.39
  4. Step 4: Simplify right side
    487.71x = 169,610.03
  5. Step 5: Solve for x
    x = 169,610.03/487.71
  6. Step 6: Final answer
    x = 347.77

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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.