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Finding the Fourth Proportional to 962, 1,444.08 and 449.12

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Solution

The fourth proportional to 962, 1,444.08 and 449.12 is: 674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    962 : 1,444.08 = 449.12 : x
  2. Step 2: Convert to fraction form
    962/1,444.08 = 449.12/x
  3. Step 3: Cross multiply
    962x = 1,444.08 × 449.12
  4. Step 4: Simplify right side
    962x = 648,565.21
  5. Step 5: Solve for x
    x = 648,565.21/962
  6. Step 6: Final answer
    x = 674.18

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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.