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Finding the Fourth Proportional to 867.22, 1,195.34 and 534.92

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Solution

The fourth proportional to 867.22, 1,195.34 and 534.92 is: 737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.22 : 1,195.34 = 534.92 : x
  2. Step 2: Convert to fraction form
    867.22/1,195.34 = 534.92/x
  3. Step 3: Cross multiply
    867.22x = 1,195.34 × 534.92
  4. Step 4: Simplify right side
    867.22x = 639,411.27
  5. Step 5: Solve for x
    x = 639,411.27/867.22
  6. Step 6: Final answer
    x = 737.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.