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Finding the Fourth Proportional to 925.97, 1,270.25 and 870.08

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Solution

The fourth proportional to 925.97, 1,270.25 and 870.08 is: 1,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.97 : 1,270.25 = 870.08 : x
  2. Step 2: Convert to fraction form
    925.97/1,270.25 = 870.08/x
  3. Step 3: Cross multiply
    925.97x = 1,270.25 × 870.08
  4. Step 4: Simplify right side
    925.97x = 1,105,211.68
  5. Step 5: Solve for x
    x = 1,105,211.68/925.97
  6. Step 6: Final answer
    x = 1,193.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.