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Finding the Fourth Proportional to 867.98, 1,199.16 and 727.88

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Solution

The fourth proportional to 867.98, 1,199.16 and 727.88 is: 1,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.98 : 1,199.16 = 727.88 : x
  2. Step 2: Convert to fraction form
    867.98/1,199.16 = 727.88/x
  3. Step 3: Cross multiply
    867.98x = 1,199.16 × 727.88
  4. Step 4: Simplify right side
    867.98x = 872,844.58
  5. Step 5: Solve for x
    x = 872,844.58/867.98
  6. Step 6: Final answer
    x = 1,005.60

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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.