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Finding the Fourth Proportional to 1,139.71, 1,709.46 and 317.92

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Solution

The fourth proportional to 1,139.71, 1,709.46 and 317.92 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.71 : 1,709.46 = 317.92 : x
  2. Step 2: Convert to fraction form
    1,139.71/1,709.46 = 317.92/x
  3. Step 3: Cross multiply
    1,139.71x = 1,709.46 × 317.92
  4. Step 4: Simplify right side
    1,139.71x = 543,471.52
  5. Step 5: Solve for x
    x = 543,471.52/1,139.71
  6. Step 6: Final answer
    x = 476.85

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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.