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Finding the Fourth Proportional to 887.31, 1,223.87 and 572.58

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Solution

The fourth proportional to 887.31, 1,223.87 and 572.58 is: 789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.31 : 1,223.87 = 572.58 : x
  2. Step 2: Convert to fraction form
    887.31/1,223.87 = 572.58/x
  3. Step 3: Cross multiply
    887.31x = 1,223.87 × 572.58
  4. Step 4: Simplify right side
    887.31x = 700,760.62
  5. Step 5: Solve for x
    x = 700,760.62/887.31
  6. Step 6: Final answer
    x = 789.76

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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.