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Finding the Fourth Proportional to 421.62, 631.28 and 397.34

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Solution

The fourth proportional to 421.62, 631.28 and 397.34 is: 594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.62 : 631.28 = 397.34 : x
  2. Step 2: Convert to fraction form
    421.62/631.28 = 397.34/x
  3. Step 3: Cross multiply
    421.62x = 631.28 × 397.34
  4. Step 4: Simplify right side
    421.62x = 250,832.80
  5. Step 5: Solve for x
    x = 250,832.80/421.62
  6. Step 6: Final answer
    x = 594.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.