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Finding the Fourth Proportional to 867.13, 1,197.05 and 535.75

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Solution

The fourth proportional to 867.13, 1,197.05 and 535.75 is: 739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.13 : 1,197.05 = 535.75 : x
  2. Step 2: Convert to fraction form
    867.13/1,197.05 = 535.75/x
  3. Step 3: Cross multiply
    867.13x = 1,197.05 × 535.75
  4. Step 4: Simplify right side
    867.13x = 641,319.54
  5. Step 5: Solve for x
    x = 641,319.54/867.13
  6. Step 6: Final answer
    x = 739.59

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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.