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Finding the Fourth Proportional to 578.52, 871.18 and 417.32

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Solution

The fourth proportional to 578.52, 871.18 and 417.32 is: 628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.52 : 871.18 = 417.32 : x
  2. Step 2: Convert to fraction form
    578.52/871.18 = 417.32/x
  3. Step 3: Cross multiply
    578.52x = 871.18 × 417.32
  4. Step 4: Simplify right side
    578.52x = 363,560.84
  5. Step 5: Solve for x
    x = 363,560.84/578.52
  6. Step 6: Final answer
    x = 628.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.