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Finding the Fourth Proportional to 1,299.56, 1,949.85 and 954.63

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Solution

The fourth proportional to 1,299.56, 1,949.85 and 954.63 is: 1,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.56 : 1,949.85 = 954.63 : x
  2. Step 2: Convert to fraction form
    1,299.56/1,949.85 = 954.63/x
  3. Step 3: Cross multiply
    1,299.56x = 1,949.85 × 954.63
  4. Step 4: Simplify right side
    1,299.56x = 1,861,385.31
  5. Step 5: Solve for x
    x = 1,861,385.31/1,299.56
  6. Step 6: Final answer
    x = 1,432.33

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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.