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Finding the Fourth Proportional to 768.14, 1,052.85 and 740.43

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Solution

The fourth proportional to 768.14, 1,052.85 and 740.43 is: 1,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.14 : 1,052.85 = 740.43 : x
  2. Step 2: Convert to fraction form
    768.14/1,052.85 = 740.43/x
  3. Step 3: Cross multiply
    768.14x = 1,052.85 × 740.43
  4. Step 4: Simplify right side
    768.14x = 779,561.73
  5. Step 5: Solve for x
    x = 779,561.73/768.14
  6. Step 6: Final answer
    x = 1,014.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.