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Finding the Fourth Proportional to 467.17, 645.42 and 397.96

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Solution

The fourth proportional to 467.17, 645.42 and 397.96 is: 549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.17 : 645.42 = 397.96 : x
  2. Step 2: Convert to fraction form
    467.17/645.42 = 397.96/x
  3. Step 3: Cross multiply
    467.17x = 645.42 × 397.96
  4. Step 4: Simplify right side
    467.17x = 256,851.34
  5. Step 5: Solve for x
    x = 256,851.34/467.17
  6. Step 6: Final answer
    x = 549.80

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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.