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Finding the Fourth Proportional to 925.70, 1,388.55 and 781.70

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Solution

The fourth proportional to 925.70, 1,388.55 and 781.70 is: 1,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.70 : 1,388.55 = 781.70 : x
  2. Step 2: Convert to fraction form
    925.70/1,388.55 = 781.70/x
  3. Step 3: Cross multiply
    925.70x = 1,388.55 × 781.70
  4. Step 4: Simplify right side
    925.70x = 1,085,429.54
  5. Step 5: Solve for x
    x = 1,085,429.54/925.70
  6. Step 6: Final answer
    x = 1,172.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.