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Finding the Fourth Proportional to 1,205.57, 1,806.72 and 474.95

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Solution

The fourth proportional to 1,205.57, 1,806.72 and 474.95 is: 711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.57 : 1,806.72 = 474.95 : x
  2. Step 2: Convert to fraction form
    1,205.57/1,806.72 = 474.95/x
  3. Step 3: Cross multiply
    1,205.57x = 1,806.72 × 474.95
  4. Step 4: Simplify right side
    1,205.57x = 858,101.66
  5. Step 5: Solve for x
    x = 858,101.66/1,205.57
  6. Step 6: Final answer
    x = 711.78

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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.