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Finding the Fourth Proportional to 722.47, 1,082.34 and 356.83

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Solution

The fourth proportional to 722.47, 1,082.34 and 356.83 is: 534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.47 : 1,082.34 = 356.83 : x
  2. Step 2: Convert to fraction form
    722.47/1,082.34 = 356.83/x
  3. Step 3: Cross multiply
    722.47x = 1,082.34 × 356.83
  4. Step 4: Simplify right side
    722.47x = 386,211.38
  5. Step 5: Solve for x
    x = 386,211.38/722.47
  6. Step 6: Final answer
    x = 534.57

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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.