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Finding the Fourth Proportional to 867.39, 1,301.54 and 663.27

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Solution

The fourth proportional to 867.39, 1,301.54 and 663.27 is: 995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.39 : 1,301.54 = 663.27 : x
  2. Step 2: Convert to fraction form
    867.39/1,301.54 = 663.27/x
  3. Step 3: Cross multiply
    867.39x = 1,301.54 × 663.27
  4. Step 4: Simplify right side
    867.39x = 863,264.24
  5. Step 5: Solve for x
    x = 863,264.24/867.39
  6. Step 6: Final answer
    x = 995.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.