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Finding the Fourth Proportional to 1,082.77, 1,624.16 and 698.29

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Solution

The fourth proportional to 1,082.77, 1,624.16 and 698.29 is: 1,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.77 : 1,624.16 = 698.29 : x
  2. Step 2: Convert to fraction form
    1,082.77/1,624.16 = 698.29/x
  3. Step 3: Cross multiply
    1,082.77x = 1,624.16 × 698.29
  4. Step 4: Simplify right side
    1,082.77x = 1,134,134.69
  5. Step 5: Solve for x
    x = 1,134,134.69/1,082.77
  6. Step 6: Final answer
    x = 1,047.44

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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.