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Finding the Fourth Proportional to 1,244.28, 1,866.38 and 513.32

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Solution

The fourth proportional to 1,244.28, 1,866.38 and 513.32 is: 769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.28 : 1,866.38 = 513.32 : x
  2. Step 2: Convert to fraction form
    1,244.28/1,866.38 = 513.32/x
  3. Step 3: Cross multiply
    1,244.28x = 1,866.38 × 513.32
  4. Step 4: Simplify right side
    1,244.28x = 958,038.28
  5. Step 5: Solve for x
    x = 958,038.28/1,244.28
  6. Step 6: Final answer
    x = 769.95

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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.