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Finding the Fourth Proportional to 864.36, 1,291.03 and 781.97

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Solution

The fourth proportional to 864.36, 1,291.03 and 781.97 is: 1,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.36 : 1,291.03 = 781.97 : x
  2. Step 2: Convert to fraction form
    864.36/1,291.03 = 781.97/x
  3. Step 3: Cross multiply
    864.36x = 1,291.03 × 781.97
  4. Step 4: Simplify right side
    864.36x = 1,009,536.36
  5. Step 5: Solve for x
    x = 1,009,536.36/864.36
  6. Step 6: Final answer
    x = 1,167.96

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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.