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Finding the Fourth Proportional to 863.86, 1,290.28 and 781.46

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Solution

The fourth proportional to 863.86, 1,290.28 and 781.46 is: 1,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,290.28 = 781.46 : x
  2. Step 2: Convert to fraction form
    863.86/1,290.28 = 781.46/x
  3. Step 3: Cross multiply
    863.86x = 1,290.28 × 781.46
  4. Step 4: Simplify right side
    863.86x = 1,008,307.37
  5. Step 5: Solve for x
    x = 1,008,307.37/863.86
  6. Step 6: Final answer
    x = 1,167.22

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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.