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Finding the Fourth Proportional to 874.12, 1,203.78 and 718.60

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Solution

The fourth proportional to 874.12, 1,203.78 and 718.60 is: 989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,203.78 = 718.60 : x
  2. Step 2: Convert to fraction form
    874.12/1,203.78 = 718.60/x
  3. Step 3: Cross multiply
    874.12x = 1,203.78 × 718.60
  4. Step 4: Simplify right side
    874.12x = 865,036.31
  5. Step 5: Solve for x
    x = 865,036.31/874.12
  6. Step 6: Final answer
    x = 989.61

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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.