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Finding the Fourth Proportional to 867.76, 1,301.64 and 648.61

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Solution

The fourth proportional to 867.76, 1,301.64 and 648.61 is: 972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.76 : 1,301.64 = 648.61 : x
  2. Step 2: Convert to fraction form
    867.76/1,301.64 = 648.61/x
  3. Step 3: Cross multiply
    867.76x = 1,301.64 × 648.61
  4. Step 4: Simplify right side
    867.76x = 844,251.03
  5. Step 5: Solve for x
    x = 844,251.03/867.76
  6. Step 6: Final answer
    x = 972.91

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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.