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Finding the Fourth Proportional to 461.64, 691.80 and 338.94

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Solution

The fourth proportional to 461.64, 691.80 and 338.94 is: 507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 691.80 = 338.94 : x
  2. Step 2: Convert to fraction form
    461.64/691.80 = 338.94/x
  3. Step 3: Cross multiply
    461.64x = 691.80 × 338.94
  4. Step 4: Simplify right side
    461.64x = 234,478.69
  5. Step 5: Solve for x
    x = 234,478.69/461.64
  6. Step 6: Final answer
    x = 507.93

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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.