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Finding the Fourth Proportional to 1,585.97, 2,188.85 and 887.57

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Solution

The fourth proportional to 1,585.97, 2,188.85 and 887.57 is: 1,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.97 : 2,188.85 = 887.57 : x
  2. Step 2: Convert to fraction form
    1,585.97/2,188.85 = 887.57/x
  3. Step 3: Cross multiply
    1,585.97x = 2,188.85 × 887.57
  4. Step 4: Simplify right side
    1,585.97x = 1,942,753.16
  5. Step 5: Solve for x
    x = 1,942,753.16/1,585.97
  6. Step 6: Final answer
    x = 1,224.96

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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.