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Finding the Fourth Proportional to 871.68, 1,203.16 and 557

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Solution

The fourth proportional to 871.68, 1,203.16 and 557 is: 768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.68 : 1,203.16 = 557 : x
  2. Step 2: Convert to fraction form
    871.68/1,203.16 = 557/x
  3. Step 3: Cross multiply
    871.68x = 1,203.16 × 557
  4. Step 4: Simplify right side
    871.68x = 670,160.12
  5. Step 5: Solve for x
    x = 670,160.12/871.68
  6. Step 6: Final answer
    x = 768.81

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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.