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Finding the Fourth Proportional to 867.30, 1,197.26 and 535.91

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Solution

The fourth proportional to 867.30, 1,197.26 and 535.91 is: 739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.30 : 1,197.26 = 535.91 : x
  2. Step 2: Convert to fraction form
    867.30/1,197.26 = 535.91/x
  3. Step 3: Cross multiply
    867.30x = 1,197.26 × 535.91
  4. Step 4: Simplify right side
    867.30x = 641,624.95
  5. Step 5: Solve for x
    x = 641,624.95/867.30
  6. Step 6: Final answer
    x = 739.79

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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.