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Finding the Fourth Proportional to 549.66, 819.85 and 467.58

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Solution

The fourth proportional to 549.66, 819.85 and 467.58 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 819.85 = 467.58 : x
  2. Step 2: Convert to fraction form
    549.66/819.85 = 467.58/x
  3. Step 3: Cross multiply
    549.66x = 819.85 × 467.58
  4. Step 4: Simplify right side
    549.66x = 383,345.46
  5. Step 5: Solve for x
    x = 383,345.46/549.66
  6. Step 6: Final answer
    x = 697.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.