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Finding the Fourth Proportional to 721.16, 1,074.21 and 711.59

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Solution

The fourth proportional to 721.16, 1,074.21 and 711.59 is: 1,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.16 : 1,074.21 = 711.59 : x
  2. Step 2: Convert to fraction form
    721.16/1,074.21 = 711.59/x
  3. Step 3: Cross multiply
    721.16x = 1,074.21 × 711.59
  4. Step 4: Simplify right side
    721.16x = 764,391.72
  5. Step 5: Solve for x
    x = 764,391.72/721.16
  6. Step 6: Final answer
    x = 1,059.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.