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Finding the Fourth Proportional to 1,138.71, 1,708.52 and 591.24

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Solution

The fourth proportional to 1,138.71, 1,708.52 and 591.24 is: 887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.71 : 1,708.52 = 591.24 : x
  2. Step 2: Convert to fraction form
    1,138.71/1,708.52 = 591.24/x
  3. Step 3: Cross multiply
    1,138.71x = 1,708.52 × 591.24
  4. Step 4: Simplify right side
    1,138.71x = 1,010,142.41
  5. Step 5: Solve for x
    x = 1,010,142.41/1,138.71
  6. Step 6: Final answer
    x = 887.09

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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.