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Finding the Fourth Proportional to 925.89, 1,378.88 and 870

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Solution

The fourth proportional to 925.89, 1,378.88 and 870 is: 1,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.89 : 1,378.88 = 870 : x
  2. Step 2: Convert to fraction form
    925.89/1,378.88 = 870/x
  3. Step 3: Cross multiply
    925.89x = 1,378.88 × 870
  4. Step 4: Simplify right side
    925.89x = 1,199,621.25
  5. Step 5: Solve for x
    x = 1,199,621.25/925.89
  6. Step 6: Final answer
    x = 1,295.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.