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Finding the Fourth Proportional to 922.12, 1,381.80 and 727.56

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Solution

The fourth proportional to 922.12, 1,381.80 and 727.56 is: 1,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.12 : 1,381.80 = 727.56 : x
  2. Step 2: Convert to fraction form
    922.12/1,381.80 = 727.56/x
  3. Step 3: Cross multiply
    922.12x = 1,381.80 × 727.56
  4. Step 4: Simplify right side
    922.12x = 1,005,342.41
  5. Step 5: Solve for x
    x = 1,005,342.41/922.12
  6. Step 6: Final answer
    x = 1,090.25

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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.