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Finding the Fourth Proportional to 871.92, 1,203.63 and 557.58

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Solution

The fourth proportional to 871.92, 1,203.63 and 557.58 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.92 : 1,203.63 = 557.58 : x
  2. Step 2: Convert to fraction form
    871.92/1,203.63 = 557.58/x
  3. Step 3: Cross multiply
    871.92x = 1,203.63 × 557.58
  4. Step 4: Simplify right side
    871.92x = 671,120.02
  5. Step 5: Solve for x
    x = 671,120.02/871.92
  6. Step 6: Final answer
    x = 769.70

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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.