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Finding the Fourth Proportional to 930.26, 1,282.61 and 781.47

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Solution

The fourth proportional to 930.26, 1,282.61 and 781.47 is: 1,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.26 : 1,282.61 = 781.47 : x
  2. Step 2: Convert to fraction form
    930.26/1,282.61 = 781.47/x
  3. Step 3: Cross multiply
    930.26x = 1,282.61 × 781.47
  4. Step 4: Simplify right side
    930.26x = 1,002,323.19
  5. Step 5: Solve for x
    x = 1,002,323.19/930.26
  6. Step 6: Final answer
    x = 1,077.46

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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.