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Finding the Fourth Proportional to 922.10, 1,382.40 and 717.03

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Solution

The fourth proportional to 922.10, 1,382.40 and 717.03 is: 1,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.10 : 1,382.40 = 717.03 : x
  2. Step 2: Convert to fraction form
    922.10/1,382.40 = 717.03/x
  3. Step 3: Cross multiply
    922.10x = 1,382.40 × 717.03
  4. Step 4: Simplify right side
    922.10x = 991,222.27
  5. Step 5: Solve for x
    x = 991,222.27/922.10
  6. Step 6: Final answer
    x = 1,074.97

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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.