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Finding the Fourth Proportional to 991.67, 1,478.78 and 922.41

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Solution

The fourth proportional to 991.67, 1,478.78 and 922.41 is: 1,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.67 : 1,478.78 = 922.41 : x
  2. Step 2: Convert to fraction form
    991.67/1,478.78 = 922.41/x
  3. Step 3: Cross multiply
    991.67x = 1,478.78 × 922.41
  4. Step 4: Simplify right side
    991.67x = 1,364,036.85
  5. Step 5: Solve for x
    x = 1,364,036.85/991.67
  6. Step 6: Final answer
    x = 1,375.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.