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Finding the Fourth Proportional to 1,283.20, 1,772.70 and 1,024

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Solution

The fourth proportional to 1,283.20, 1,772.70 and 1,024 is: 1,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.20 : 1,772.70 = 1,024 : x
  2. Step 2: Convert to fraction form
    1,283.20/1,772.70 = 1,024/x
  3. Step 3: Cross multiply
    1,283.20x = 1,772.70 × 1,024
  4. Step 4: Simplify right side
    1,283.20x = 1,815,244.80
  5. Step 5: Solve for x
    x = 1,815,244.80/1,283.20
  6. Step 6: Final answer
    x = 1,414.62

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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.