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Finding the Fourth Proportional to 868.83, 1,294.05 and 864.64

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Solution

The fourth proportional to 868.83, 1,294.05 and 864.64 is: 1,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.83 : 1,294.05 = 864.64 : x
  2. Step 2: Convert to fraction form
    868.83/1,294.05 = 864.64/x
  3. Step 3: Cross multiply
    868.83x = 1,294.05 × 864.64
  4. Step 4: Simplify right side
    868.83x = 1,118,887.39
  5. Step 5: Solve for x
    x = 1,118,887.39/868.83
  6. Step 6: Final answer
    x = 1,287.81

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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.