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Finding the Fourth Proportional to 768.73, 1,154.01 and 587.09

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Solution

The fourth proportional to 768.73, 1,154.01 and 587.09 is: 881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.73 : 1,154.01 = 587.09 : x
  2. Step 2: Convert to fraction form
    768.73/1,154.01 = 587.09/x
  3. Step 3: Cross multiply
    768.73x = 1,154.01 × 587.09
  4. Step 4: Simplify right side
    768.73x = 677,507.73
  5. Step 5: Solve for x
    x = 677,507.73/768.73
  6. Step 6: Final answer
    x = 881.33

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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.