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Finding the Fourth Proportional to 1,122.80, 1,683.66 and 392.36

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Solution

The fourth proportional to 1,122.80, 1,683.66 and 392.36 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.80 : 1,683.66 = 392.36 : x
  2. Step 2: Convert to fraction form
    1,122.80/1,683.66 = 392.36/x
  3. Step 3: Cross multiply
    1,122.80x = 1,683.66 × 392.36
  4. Step 4: Simplify right side
    1,122.80x = 660,600.84
  5. Step 5: Solve for x
    x = 660,600.84/1,122.80
  6. Step 6: Final answer
    x = 588.35

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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.