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Finding the Fourth Proportional to 892.60, 1,230.56 and 726.56

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Solution

The fourth proportional to 892.60, 1,230.56 and 726.56 is: 1,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.60 : 1,230.56 = 726.56 : x
  2. Step 2: Convert to fraction form
    892.60/1,230.56 = 726.56/x
  3. Step 3: Cross multiply
    892.60x = 1,230.56 × 726.56
  4. Step 4: Simplify right side
    892.60x = 894,075.67
  5. Step 5: Solve for x
    x = 894,075.67/892.60
  6. Step 6: Final answer
    x = 1,001.65

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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.