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Finding the Fourth Proportional to 768.56, 1,150.68 and 585.20

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Solution

The fourth proportional to 768.56, 1,150.68 and 585.20 is: 876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.56 : 1,150.68 = 585.20 : x
  2. Step 2: Convert to fraction form
    768.56/1,150.68 = 585.20/x
  3. Step 3: Cross multiply
    768.56x = 1,150.68 × 585.20
  4. Step 4: Simplify right side
    768.56x = 673,377.94
  5. Step 5: Solve for x
    x = 673,377.94/768.56
  6. Step 6: Final answer
    x = 876.16

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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.