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Finding the Fourth Proportional to 1,139.72, 1,572.78 and 635.66

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Solution

The fourth proportional to 1,139.72, 1,572.78 and 635.66 is: 877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.72 : 1,572.78 = 635.66 : x
  2. Step 2: Convert to fraction form
    1,139.72/1,572.78 = 635.66/x
  3. Step 3: Cross multiply
    1,139.72x = 1,572.78 × 635.66
  4. Step 4: Simplify right side
    1,139.72x = 999,756.04
  5. Step 5: Solve for x
    x = 999,756.04/1,139.72
  6. Step 6: Final answer
    x = 877.20

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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.