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Finding the Fourth Proportional to 721.33, 994.90 and 534.83

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Solution

The fourth proportional to 721.33, 994.90 and 534.83 is: 737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.33 : 994.90 = 534.83 : x
  2. Step 2: Convert to fraction form
    721.33/994.90 = 534.83/x
  3. Step 3: Cross multiply
    721.33x = 994.90 × 534.83
  4. Step 4: Simplify right side
    721.33x = 532,094.72
  5. Step 5: Solve for x
    x = 532,094.72/721.33
  6. Step 6: Final answer
    x = 737.66

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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.