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Finding the Fourth Proportional to 1,082.72, 1,624.14 and 292.19

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Solution

The fourth proportional to 1,082.72, 1,624.14 and 292.19 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.72 : 1,624.14 = 292.19 : x
  2. Step 2: Convert to fraction form
    1,082.72/1,624.14 = 292.19/x
  3. Step 3: Cross multiply
    1,082.72x = 1,624.14 × 292.19
  4. Step 4: Simplify right side
    1,082.72x = 474,564.92
  5. Step 5: Solve for x
    x = 474,564.92/1,082.72
  6. Step 6: Final answer
    x = 438.31

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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.