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Finding the Fourth Proportional to 1,247.28, 1,863.02 and 970.49

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Solution

The fourth proportional to 1,247.28, 1,863.02 and 970.49 is: 1,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.28 : 1,863.02 = 970.49 : x
  2. Step 2: Convert to fraction form
    1,247.28/1,863.02 = 970.49/x
  3. Step 3: Cross multiply
    1,247.28x = 1,863.02 × 970.49
  4. Step 4: Simplify right side
    1,247.28x = 1,808,037.62
  5. Step 5: Solve for x
    x = 1,808,037.62/1,247.28
  6. Step 6: Final answer
    x = 1,449.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.