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Finding the Fourth Proportional to 2,715.50, 4,073.25 and 663.50

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Solution

The fourth proportional to 2,715.50, 4,073.25 and 663.50 is: 995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.50 : 4,073.25 = 663.50 : x
  2. Step 2: Convert to fraction form
    2,715.50/4,073.25 = 663.50/x
  3. Step 3: Cross multiply
    2,715.50x = 4,073.25 × 663.50
  4. Step 4: Simplify right side
    2,715.50x = 2,702,601.38
  5. Step 5: Solve for x
    x = 2,702,601.38/2,715.50
  6. Step 6: Final answer
    x = 995.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.