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Finding the Fourth Proportional to 930.39, 1,282.79 and 781.60

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Solution

The fourth proportional to 930.39, 1,282.79 and 781.60 is: 1,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.39 : 1,282.79 = 781.60 : x
  2. Step 2: Convert to fraction form
    930.39/1,282.79 = 781.60/x
  3. Step 3: Cross multiply
    930.39x = 1,282.79 × 781.60
  4. Step 4: Simplify right side
    930.39x = 1,002,618.34
  5. Step 5: Solve for x
    x = 1,002,618.34/930.39
  6. Step 6: Final answer
    x = 1,077.63

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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.