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Finding the Fourth Proportional to 922.39, 1,272.08 and 725.56

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Solution

The fourth proportional to 922.39, 1,272.08 and 725.56 is: 1,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.39 : 1,272.08 = 725.56 : x
  2. Step 2: Convert to fraction form
    922.39/1,272.08 = 725.56/x
  3. Step 3: Cross multiply
    922.39x = 1,272.08 × 725.56
  4. Step 4: Simplify right side
    922.39x = 922,969.00
  5. Step 5: Solve for x
    x = 922,969.00/922.39
  6. Step 6: Final answer
    x = 1,000.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.