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Finding the Fourth Proportional to 633.44, 947.66 and 479.81

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Solution

The fourth proportional to 633.44, 947.66 and 479.81 is: 717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.44 : 947.66 = 479.81 : x
  2. Step 2: Convert to fraction form
    633.44/947.66 = 479.81/x
  3. Step 3: Cross multiply
    633.44x = 947.66 × 479.81
  4. Step 4: Simplify right side
    633.44x = 454,689.61
  5. Step 5: Solve for x
    x = 454,689.61/633.44
  6. Step 6: Final answer
    x = 717.82

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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.