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Finding the Fourth Proportional to 463.85, 695.73 and 121.85

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Solution

The fourth proportional to 463.85, 695.73 and 121.85 is: 182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 695.73 = 121.85 : x
  2. Step 2: Convert to fraction form
    463.85/695.73 = 121.85/x
  3. Step 3: Cross multiply
    463.85x = 695.73 × 121.85
  4. Step 4: Simplify right side
    463.85x = 84,774.70
  5. Step 5: Solve for x
    x = 84,774.70/463.85
  6. Step 6: Final answer
    x = 182.76

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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.