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Finding the Fourth Proportional to 462.79, 642.79 and 449.83

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Solution

The fourth proportional to 462.79, 642.79 and 449.83 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.79 : 642.79 = 449.83 : x
  2. Step 2: Convert to fraction form
    462.79/642.79 = 449.83/x
  3. Step 3: Cross multiply
    462.79x = 642.79 × 449.83
  4. Step 4: Simplify right side
    462.79x = 289,140.76
  5. Step 5: Solve for x
    x = 289,140.76/462.79
  6. Step 6: Final answer
    x = 624.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.