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Finding the Fourth Proportional to 872.50, 1,203.91 and 499.50

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Solution

The fourth proportional to 872.50, 1,203.91 and 499.50 is: 689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.50 : 1,203.91 = 499.50 : x
  2. Step 2: Convert to fraction form
    872.50/1,203.91 = 499.50/x
  3. Step 3: Cross multiply
    872.50x = 1,203.91 × 499.50
  4. Step 4: Simplify right side
    872.50x = 601,353.05
  5. Step 5: Solve for x
    x = 601,353.05/872.50
  6. Step 6: Final answer
    x = 689.23

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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.