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Finding the Fourth Proportional to 460.46, 689.88 and 449.12

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Solution

The fourth proportional to 460.46, 689.88 and 449.12 is: 672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 689.88 = 449.12 : x
  2. Step 2: Convert to fraction form
    460.46/689.88 = 449.12/x
  3. Step 3: Cross multiply
    460.46x = 689.88 × 449.12
  4. Step 4: Simplify right side
    460.46x = 309,838.91
  5. Step 5: Solve for x
    x = 309,838.91/460.46
  6. Step 6: Final answer
    x = 672.89

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