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Finding the Fourth Proportional to 1,122.80, 1,684.61 and 392.49

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Solution

The fourth proportional to 1,122.80, 1,684.61 and 392.49 is: 588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.80 : 1,684.61 = 392.49 : x
  2. Step 2: Convert to fraction form
    1,122.80/1,684.61 = 392.49/x
  3. Step 3: Cross multiply
    1,122.80x = 1,684.61 × 392.49
  4. Step 4: Simplify right side
    1,122.80x = 661,193.56
  5. Step 5: Solve for x
    x = 661,193.56/1,122.80
  6. Step 6: Final answer
    x = 588.88

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Double scale
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1.5x scale

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.