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Finding the Fourth Proportional to 633.66, 946.58 and 449.61

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Solution

The fourth proportional to 633.66, 946.58 and 449.61 is: 671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.66 : 946.58 = 449.61 : x
  2. Step 2: Convert to fraction form
    633.66/946.58 = 449.61/x
  3. Step 3: Cross multiply
    633.66x = 946.58 × 449.61
  4. Step 4: Simplify right side
    633.66x = 425,591.83
  5. Step 5: Solve for x
    x = 425,591.83/633.66
  6. Step 6: Final answer
    x = 671.64

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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.