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Finding the Fourth Proportional to 922.97, 1,382.91 and 648.57

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Solution

The fourth proportional to 922.97, 1,382.91 and 648.57 is: 971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.97 : 1,382.91 = 648.57 : x
  2. Step 2: Convert to fraction form
    922.97/1,382.91 = 648.57/x
  3. Step 3: Cross multiply
    922.97x = 1,382.91 × 648.57
  4. Step 4: Simplify right side
    922.97x = 896,915.65
  5. Step 5: Solve for x
    x = 896,915.65/922.97
  6. Step 6: Final answer
    x = 971.77

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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.