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Finding the Fourth Proportional to 871.49, 1,202.49 and 592.31

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Solution

The fourth proportional to 871.49, 1,202.49 and 592.31 is: 817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.49 : 1,202.49 = 592.31 : x
  2. Step 2: Convert to fraction form
    871.49/1,202.49 = 592.31/x
  3. Step 3: Cross multiply
    871.49x = 1,202.49 × 592.31
  4. Step 4: Simplify right side
    871.49x = 712,240.84
  5. Step 5: Solve for x
    x = 712,240.84/871.49
  6. Step 6: Final answer
    x = 817.27

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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.