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Finding the Fourth Proportional to 632.50, 872.85 and 356.50

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Solution

The fourth proportional to 632.50, 872.85 and 356.50 is: 491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.50 : 872.85 = 356.50 : x
  2. Step 2: Convert to fraction form
    632.50/872.85 = 356.50/x
  3. Step 3: Cross multiply
    632.50x = 872.85 × 356.50
  4. Step 4: Simplify right side
    632.50x = 311,171.03
  5. Step 5: Solve for x
    x = 311,171.03/632.50
  6. Step 6: Final answer
    x = 491.97

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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.