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Finding the Fourth Proportional to 723.06, 1,082.70 and 613.08

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Solution

The fourth proportional to 723.06, 1,082.70 and 613.08 is: 918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.06 : 1,082.70 = 613.08 : x
  2. Step 2: Convert to fraction form
    723.06/1,082.70 = 613.08/x
  3. Step 3: Cross multiply
    723.06x = 1,082.70 × 613.08
  4. Step 4: Simplify right side
    723.06x = 663,781.72
  5. Step 5: Solve for x
    x = 663,781.72/723.06
  6. Step 6: Final answer
    x = 918.02

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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.