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Finding the Fourth Proportional to 1,139.24, 1,709.68 and 851.42

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Solution

The fourth proportional to 1,139.24, 1,709.68 and 851.42 is: 1,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.24 : 1,709.68 = 851.42 : x
  2. Step 2: Convert to fraction form
    1,139.24/1,709.68 = 851.42/x
  3. Step 3: Cross multiply
    1,139.24x = 1,709.68 × 851.42
  4. Step 4: Simplify right side
    1,139.24x = 1,455,655.75
  5. Step 5: Solve for x
    x = 1,455,655.75/1,139.24
  6. Step 6: Final answer
    x = 1,277.74

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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.