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Finding the Fourth Proportional to 1,057.62, 1,586.43 and 768.18

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Solution

The fourth proportional to 1,057.62, 1,586.43 and 768.18 is: 1,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.62 : 1,586.43 = 768.18 : x
  2. Step 2: Convert to fraction form
    1,057.62/1,586.43 = 768.18/x
  3. Step 3: Cross multiply
    1,057.62x = 1,586.43 × 768.18
  4. Step 4: Simplify right side
    1,057.62x = 1,218,663.80
  5. Step 5: Solve for x
    x = 1,218,663.80/1,057.62
  6. Step 6: Final answer
    x = 1,152.27

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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.