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Finding the Fourth Proportional to 451.42, 672.32 and 421.36

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Solution

The fourth proportional to 451.42, 672.32 and 421.36 is: 627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.42 : 672.32 = 421.36 : x
  2. Step 2: Convert to fraction form
    451.42/672.32 = 421.36/x
  3. Step 3: Cross multiply
    451.42x = 672.32 × 421.36
  4. Step 4: Simplify right side
    451.42x = 283,288.76
  5. Step 5: Solve for x
    x = 283,288.76/451.42
  6. Step 6: Final answer
    x = 627.55

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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.