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Finding the Fourth Proportional to 922.27, 1,272.38 and 568.10

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Solution

The fourth proportional to 922.27, 1,272.38 and 568.10 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.27 : 1,272.38 = 568.10 : x
  2. Step 2: Convert to fraction form
    922.27/1,272.38 = 568.10/x
  3. Step 3: Cross multiply
    922.27x = 1,272.38 × 568.10
  4. Step 4: Simplify right side
    922.27x = 722,839.08
  5. Step 5: Solve for x
    x = 722,839.08/922.27
  6. Step 6: Final answer
    x = 783.76

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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.