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Finding the Fourth Proportional to 715.80, 1,073.97 and 391.40

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Solution

The fourth proportional to 715.80, 1,073.97 and 391.40 is: 587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.80 : 1,073.97 = 391.40 : x
  2. Step 2: Convert to fraction form
    715.80/1,073.97 = 391.40/x
  3. Step 3: Cross multiply
    715.80x = 1,073.97 × 391.40
  4. Step 4: Simplify right side
    715.80x = 420,344.53
  5. Step 5: Solve for x
    x = 420,344.53/715.80
  6. Step 6: Final answer
    x = 587.24

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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.