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Finding the Fourth Proportional to 484.76, 723.16 and 449.84

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Solution

The fourth proportional to 484.76, 723.16 and 449.84 is: 671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.76 : 723.16 = 449.84 : x
  2. Step 2: Convert to fraction form
    484.76/723.16 = 449.84/x
  3. Step 3: Cross multiply
    484.76x = 723.16 × 449.84
  4. Step 4: Simplify right side
    484.76x = 325,306.29
  5. Step 5: Solve for x
    x = 325,306.29/484.76
  6. Step 6: Final answer
    x = 671.07

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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.