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Finding the Fourth Proportional to 1,205.27, 1,661.96 and 784.85

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Solution

The fourth proportional to 1,205.27, 1,661.96 and 784.85 is: 1,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.27 : 1,661.96 = 784.85 : x
  2. Step 2: Convert to fraction form
    1,205.27/1,661.96 = 784.85/x
  3. Step 3: Cross multiply
    1,205.27x = 1,661.96 × 784.85
  4. Step 4: Simplify right side
    1,205.27x = 1,304,389.31
  5. Step 5: Solve for x
    x = 1,304,389.31/1,205.27
  6. Step 6: Final answer
    x = 1,082.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.