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Finding the Fourth Proportional to 768.11, 1,057.32 and 581.27

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Solution

The fourth proportional to 768.11, 1,057.32 and 581.27 is: 800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.11 : 1,057.32 = 581.27 : x
  2. Step 2: Convert to fraction form
    768.11/1,057.32 = 581.27/x
  3. Step 3: Cross multiply
    768.11x = 1,057.32 × 581.27
  4. Step 4: Simplify right side
    768.11x = 614,583.11
  5. Step 5: Solve for x
    x = 614,583.11/768.11
  6. Step 6: Final answer
    x = 800.13

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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.