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Finding the Fourth Proportional to 631.98, 872.55 and 408.06

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Solution

The fourth proportional to 631.98, 872.55 and 408.06 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 872.55 = 408.06 : x
  2. Step 2: Convert to fraction form
    631.98/872.55 = 408.06/x
  3. Step 3: Cross multiply
    631.98x = 872.55 × 408.06
  4. Step 4: Simplify right side
    631.98x = 356,052.75
  5. Step 5: Solve for x
    x = 356,052.75/631.98
  6. Step 6: Final answer
    x = 563.39

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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.