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Finding the Fourth Proportional to 871.77, 1,202.25 and 572.74

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Solution

The fourth proportional to 871.77, 1,202.25 and 572.74 is: 789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.77 : 1,202.25 = 572.74 : x
  2. Step 2: Convert to fraction form
    871.77/1,202.25 = 572.74/x
  3. Step 3: Cross multiply
    871.77x = 1,202.25 × 572.74
  4. Step 4: Simplify right side
    871.77x = 688,576.67
  5. Step 5: Solve for x
    x = 688,576.67/871.77
  6. Step 6: Final answer
    x = 789.86

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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.