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Finding the Fourth Proportional to 724.37, 1,082.41 and 491.32

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Solution

The fourth proportional to 724.37, 1,082.41 and 491.32 is: 734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.37 : 1,082.41 = 491.32 : x
  2. Step 2: Convert to fraction form
    724.37/1,082.41 = 491.32/x
  3. Step 3: Cross multiply
    724.37x = 1,082.41 × 491.32
  4. Step 4: Simplify right side
    724.37x = 531,806.48
  5. Step 5: Solve for x
    x = 531,806.48/724.37
  6. Step 6: Final answer
    x = 734.17

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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.