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Finding the Fourth Proportional to 1,110.73, 1,665.20 and 461.95

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Solution

The fourth proportional to 1,110.73, 1,665.20 and 461.95 is: 692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.73 : 1,665.20 = 461.95 : x
  2. Step 2: Convert to fraction form
    1,110.73/1,665.20 = 461.95/x
  3. Step 3: Cross multiply
    1,110.73x = 1,665.20 × 461.95
  4. Step 4: Simplify right side
    1,110.73x = 769,236.83
  5. Step 5: Solve for x
    x = 769,236.83/1,110.73
  6. Step 6: Final answer
    x = 692.55

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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.