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Finding the Fourth Proportional to 716.20, 1,073.58 and 391.16

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Solution

The fourth proportional to 716.20, 1,073.58 and 391.16 is: 586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.20 : 1,073.58 = 391.16 : x
  2. Step 2: Convert to fraction form
    716.20/1,073.58 = 391.16/x
  3. Step 3: Cross multiply
    716.20x = 1,073.58 × 391.16
  4. Step 4: Simplify right side
    716.20x = 419,941.55
  5. Step 5: Solve for x
    x = 419,941.55/716.20
  6. Step 6: Final answer
    x = 586.35

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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.