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Finding the Fourth Proportional to 1,139.43, 1,708.11 and 590.97

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Solution

The fourth proportional to 1,139.43, 1,708.11 and 590.97 is: 885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.43 : 1,708.11 = 590.97 : x
  2. Step 2: Convert to fraction form
    1,139.43/1,708.11 = 590.97/x
  3. Step 3: Cross multiply
    1,139.43x = 1,708.11 × 590.97
  4. Step 4: Simplify right side
    1,139.43x = 1,009,441.77
  5. Step 5: Solve for x
    x = 1,009,441.77/1,139.43
  6. Step 6: Final answer
    x = 885.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.