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Finding the Fourth Proportional to 1,139.26, 1,572.20 and 667.06

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Solution

The fourth proportional to 1,139.26, 1,572.20 and 667.06 is: 920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.26 : 1,572.20 = 667.06 : x
  2. Step 2: Convert to fraction form
    1,139.26/1,572.20 = 667.06/x
  3. Step 3: Cross multiply
    1,139.26x = 1,572.20 × 667.06
  4. Step 4: Simplify right side
    1,139.26x = 1,048,740.54
  5. Step 5: Solve for x
    x = 1,048,740.54/1,139.26
  6. Step 6: Final answer
    x = 920.54

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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.