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Finding the Fourth Proportional to 724.56, 1,082.18 and 720.08

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Solution

The fourth proportional to 724.56, 1,082.18 and 720.08 is: 1,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.56 : 1,082.18 = 720.08 : x
  2. Step 2: Convert to fraction form
    724.56/1,082.18 = 720.08/x
  3. Step 3: Cross multiply
    724.56x = 1,082.18 × 720.08
  4. Step 4: Simplify right side
    724.56x = 779,256.17
  5. Step 5: Solve for x
    x = 779,256.17/724.56
  6. Step 6: Final answer
    x = 1,075.49

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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.