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Finding the Fourth Proportional to 991.42, 1,478.40 and 922.16

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Solution

The fourth proportional to 991.42, 1,478.40 and 922.16 is: 1,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.42 : 1,478.40 = 922.16 : x
  2. Step 2: Convert to fraction form
    991.42/1,478.40 = 922.16/x
  3. Step 3: Cross multiply
    991.42x = 1,478.40 × 922.16
  4. Step 4: Simplify right side
    991.42x = 1,363,316.73
  5. Step 5: Solve for x
    x = 1,363,316.73/991.42
  6. Step 6: Final answer
    x = 1,375.12

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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.