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Finding the Fourth Proportional to 937.60, 1,294.68 and 588.40

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Solution

The fourth proportional to 937.60, 1,294.68 and 588.40 is: 812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.60 : 1,294.68 = 588.40 : x
  2. Step 2: Convert to fraction form
    937.60/1,294.68 = 588.40/x
  3. Step 3: Cross multiply
    937.60x = 1,294.68 × 588.40
  4. Step 4: Simplify right side
    937.60x = 761,789.71
  5. Step 5: Solve for x
    x = 761,789.71/937.60
  6. Step 6: Final answer
    x = 812.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.