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Finding the Fourth Proportional to 874.84, 1,207.35 and 481.90

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Solution

The fourth proportional to 874.84, 1,207.35 and 481.90 is: 665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.84 : 1,207.35 = 481.90 : x
  2. Step 2: Convert to fraction form
    874.84/1,207.35 = 481.90/x
  3. Step 3: Cross multiply
    874.84x = 1,207.35 × 481.90
  4. Step 4: Simplify right side
    874.84x = 581,821.97
  5. Step 5: Solve for x
    x = 581,821.97/874.84
  6. Step 6: Final answer
    x = 665.06

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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.