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Finding the Fourth Proportional to 768.73, 1,154.49 and 587.41

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Solution

The fourth proportional to 768.73, 1,154.49 and 587.41 is: 882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.73 : 1,154.49 = 587.41 : x
  2. Step 2: Convert to fraction form
    768.73/1,154.49 = 587.41/x
  3. Step 3: Cross multiply
    768.73x = 1,154.49 × 587.41
  4. Step 4: Simplify right side
    768.73x = 678,158.97
  5. Step 5: Solve for x
    x = 678,158.97/768.73
  6. Step 6: Final answer
    x = 882.18

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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.