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Finding the Fourth Proportional to 887.23, 1,224 and 572.43

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Solution

The fourth proportional to 887.23, 1,224 and 572.43 is: 789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.23 : 1,224 = 572.43 : x
  2. Step 2: Convert to fraction form
    887.23/1,224 = 572.43/x
  3. Step 3: Cross multiply
    887.23x = 1,224 × 572.43
  4. Step 4: Simplify right side
    887.23x = 700,654.32
  5. Step 5: Solve for x
    x = 700,654.32/887.23
  6. Step 6: Final answer
    x = 789.71

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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.