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Finding the Fourth Proportional to 537.62, 742.04 and 316.64

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Solution

The fourth proportional to 537.62, 742.04 and 316.64 is: 437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.62 : 742.04 = 316.64 : x
  2. Step 2: Convert to fraction form
    537.62/742.04 = 316.64/x
  3. Step 3: Cross multiply
    537.62x = 742.04 × 316.64
  4. Step 4: Simplify right side
    537.62x = 234,961.00
  5. Step 5: Solve for x
    x = 234,961.00/537.62
  6. Step 6: Final answer
    x = 437.04

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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.