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Finding the Fourth Proportional to 874.75, 1,207.04 and 520.68

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Solution

The fourth proportional to 874.75, 1,207.04 and 520.68 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.75 : 1,207.04 = 520.68 : x
  2. Step 2: Convert to fraction form
    874.75/1,207.04 = 520.68/x
  3. Step 3: Cross multiply
    874.75x = 1,207.04 × 520.68
  4. Step 4: Simplify right side
    874.75x = 628,481.59
  5. Step 5: Solve for x
    x = 628,481.59/874.75
  6. Step 6: Final answer
    x = 718.47

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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.