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Finding the Fourth Proportional to 461.55, 691.08 and 380.76

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Solution

The fourth proportional to 461.55, 691.08 and 380.76 is: 570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 691.08 = 380.76 : x
  2. Step 2: Convert to fraction form
    461.55/691.08 = 380.76/x
  3. Step 3: Cross multiply
    461.55x = 691.08 × 380.76
  4. Step 4: Simplify right side
    461.55x = 263,135.62
  5. Step 5: Solve for x
    x = 263,135.62/461.55
  6. Step 6: Final answer
    x = 570.11

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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.