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Finding the Fourth Proportional to 874.14, 1,207.08 and 728.34

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Solution

The fourth proportional to 874.14, 1,207.08 and 728.34 is: 1,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,207.08 = 728.34 : x
  2. Step 2: Convert to fraction form
    874.14/1,207.08 = 728.34/x
  3. Step 3: Cross multiply
    874.14x = 1,207.08 × 728.34
  4. Step 4: Simplify right side
    874.14x = 879,164.65
  5. Step 5: Solve for x
    x = 879,164.65/874.14
  6. Step 6: Final answer
    x = 1,005.75

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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.