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Finding the Fourth Proportional to 588.71, 882.88 and 407.27

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Solution

The fourth proportional to 588.71, 882.88 and 407.27 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.71 : 882.88 = 407.27 : x
  2. Step 2: Convert to fraction form
    588.71/882.88 = 407.27/x
  3. Step 3: Cross multiply
    588.71x = 882.88 × 407.27
  4. Step 4: Simplify right side
    588.71x = 359,570.54
  5. Step 5: Solve for x
    x = 359,570.54/588.71
  6. Step 6: Final answer
    x = 610.78

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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.