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Finding the Fourth Proportional to 1,284.62, 1,772.84 and 725.18

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Solution

The fourth proportional to 1,284.62, 1,772.84 and 725.18 is: 1,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.62 : 1,772.84 = 725.18 : x
  2. Step 2: Convert to fraction form
    1,284.62/1,772.84 = 725.18/x
  3. Step 3: Cross multiply
    1,284.62x = 1,772.84 × 725.18
  4. Step 4: Simplify right side
    1,284.62x = 1,285,621.06
  5. Step 5: Solve for x
    x = 1,285,621.06/1,284.62
  6. Step 6: Final answer
    x = 1,000.78

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1.5x scale

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.