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Finding the Fourth Proportional to 467.46, 645.80 and 398.24

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Solution

The fourth proportional to 467.46, 645.80 and 398.24 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 645.80 = 398.24 : x
  2. Step 2: Convert to fraction form
    467.46/645.80 = 398.24/x
  3. Step 3: Cross multiply
    467.46x = 645.80 × 398.24
  4. Step 4: Simplify right side
    467.46x = 257,178.17
  5. Step 5: Solve for x
    x = 257,178.17/467.46
  6. Step 6: Final answer
    x = 550.16

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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.