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Finding the Fourth Proportional to 461.19, 691.77 and 114.53

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Solution

The fourth proportional to 461.19, 691.77 and 114.53 is: 171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.19 : 691.77 = 114.53 : x
  2. Step 2: Convert to fraction form
    461.19/691.77 = 114.53/x
  3. Step 3: Cross multiply
    461.19x = 691.77 × 114.53
  4. Step 4: Simplify right side
    461.19x = 79,228.42
  5. Step 5: Solve for x
    x = 79,228.42/461.19
  6. Step 6: Final answer
    x = 171.79

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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.