Home / 1,217.43-1,680.27-922.20

Finding the Fourth Proportional to 1,217.43, 1,680.27 and 922.20

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Solution

The fourth proportional to 1,217.43, 1,680.27 and 922.20 is: 1,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.43 : 1,680.27 = 922.20 : x
  2. Step 2: Convert to fraction form
    1,217.43/1,680.27 = 922.20/x
  3. Step 3: Cross multiply
    1,217.43x = 1,680.27 × 922.20
  4. Step 4: Simplify right side
    1,217.43x = 1,549,544.99
  5. Step 5: Solve for x
    x = 1,549,544.99/1,217.43
  6. Step 6: Final answer
    x = 1,272.80

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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.