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Finding the Fourth Proportional to 721.17, 1,077.30 and 611.82

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Solution

The fourth proportional to 721.17, 1,077.30 and 611.82 is: 913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.17 : 1,077.30 = 611.82 : x
  2. Step 2: Convert to fraction form
    721.17/1,077.30 = 611.82/x
  3. Step 3: Cross multiply
    721.17x = 1,077.30 × 611.82
  4. Step 4: Simplify right side
    721.17x = 659,113.69
  5. Step 5: Solve for x
    x = 659,113.69/721.17
  6. Step 6: Final answer
    x = 913.95

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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.