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Finding the Fourth Proportional to 1,139.87, 1,572.99 and 668.09

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Solution

The fourth proportional to 1,139.87, 1,572.99 and 668.09 is: 921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.87 : 1,572.99 = 668.09 : x
  2. Step 2: Convert to fraction form
    1,139.87/1,572.99 = 668.09/x
  3. Step 3: Cross multiply
    1,139.87x = 1,572.99 × 668.09
  4. Step 4: Simplify right side
    1,139.87x = 1,050,891.02
  5. Step 5: Solve for x
    x = 1,050,891.02/1,139.87
  6. Step 6: Final answer
    x = 921.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.