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Finding the Fourth Proportional to 1,139.80, 1,710.11 and 591.97

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Solution

The fourth proportional to 1,139.80, 1,710.11 and 591.97 is: 888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.80 : 1,710.11 = 591.97 : x
  2. Step 2: Convert to fraction form
    1,139.80/1,710.11 = 591.97/x
  3. Step 3: Cross multiply
    1,139.80x = 1,710.11 × 591.97
  4. Step 4: Simplify right side
    1,139.80x = 1,012,333.82
  5. Step 5: Solve for x
    x = 1,012,333.82/1,139.80
  6. Step 6: Final answer
    x = 888.17

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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.