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Finding the Fourth Proportional to 462.32, 633.86 and 454.12

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Solution

The fourth proportional to 462.32, 633.86 and 454.12 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.32 : 633.86 = 454.12 : x
  2. Step 2: Convert to fraction form
    462.32/633.86 = 454.12/x
  3. Step 3: Cross multiply
    462.32x = 633.86 × 454.12
  4. Step 4: Simplify right side
    462.32x = 287,848.50
  5. Step 5: Solve for x
    x = 287,848.50/462.32
  6. Step 6: Final answer
    x = 622.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.