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Finding the Fourth Proportional to 872.55, 1,203.59 and 685.74

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Solution

The fourth proportional to 872.55, 1,203.59 and 685.74 is: 945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.55 : 1,203.59 = 685.74 : x
  2. Step 2: Convert to fraction form
    872.55/1,203.59 = 685.74/x
  3. Step 3: Cross multiply
    872.55x = 1,203.59 × 685.74
  4. Step 4: Simplify right side
    872.55x = 825,356.03
  5. Step 5: Solve for x
    x = 825,356.03/872.55
  6. Step 6: Final answer
    x = 945.91

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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.