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Finding the Fourth Proportional to 1,082.59, 1,624.31 and 433.39

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Solution

The fourth proportional to 1,082.59, 1,624.31 and 433.39 is: 650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.59 : 1,624.31 = 433.39 : x
  2. Step 2: Convert to fraction form
    1,082.59/1,624.31 = 433.39/x
  3. Step 3: Cross multiply
    1,082.59x = 1,624.31 × 433.39
  4. Step 4: Simplify right side
    1,082.59x = 703,959.71
  5. Step 5: Solve for x
    x = 703,959.71/1,082.59
  6. Step 6: Final answer
    x = 650.26

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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.