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Finding the Fourth Proportional to 1,280.22, 1,765.88 and 887.17

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Solution

The fourth proportional to 1,280.22, 1,765.88 and 887.17 is: 1,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.22 : 1,765.88 = 887.17 : x
  2. Step 2: Convert to fraction form
    1,280.22/1,765.88 = 887.17/x
  3. Step 3: Cross multiply
    1,280.22x = 1,765.88 × 887.17
  4. Step 4: Simplify right side
    1,280.22x = 1,566,633.56
  5. Step 5: Solve for x
    x = 1,566,633.56/1,280.22
  6. Step 6: Final answer
    x = 1,223.72

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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.