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Finding the Fourth Proportional to 588.71, 881.71 and 457.65

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Solution

The fourth proportional to 588.71, 881.71 and 457.65 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.71 : 881.71 = 457.65 : x
  2. Step 2: Convert to fraction form
    588.71/881.71 = 457.65/x
  3. Step 3: Cross multiply
    588.71x = 881.71 × 457.65
  4. Step 4: Simplify right side
    588.71x = 403,512.29
  5. Step 5: Solve for x
    x = 403,512.29/588.71
  6. Step 6: Final answer
    x = 685.42

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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.