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Finding the Fourth Proportional to 874.14, 1,206.30 and 481.15

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Solution

The fourth proportional to 874.14, 1,206.30 and 481.15 is: 663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,206.30 = 481.15 : x
  2. Step 2: Convert to fraction form
    874.14/1,206.30 = 481.15/x
  3. Step 3: Cross multiply
    874.14x = 1,206.30 × 481.15
  4. Step 4: Simplify right side
    874.14x = 580,411.25
  5. Step 5: Solve for x
    x = 580,411.25/874.14
  6. Step 6: Final answer
    x = 663.98

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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.