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Finding the Fourth Proportional to 677.73, 1,015.85 and 266.79

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Solution

The fourth proportional to 677.73, 1,015.85 and 266.79 is: 399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.73 : 1,015.85 = 266.79 : x
  2. Step 2: Convert to fraction form
    677.73/1,015.85 = 266.79/x
  3. Step 3: Cross multiply
    677.73x = 1,015.85 × 266.79
  4. Step 4: Simplify right side
    677.73x = 271,017.29
  5. Step 5: Solve for x
    x = 271,017.29/677.73
  6. Step 6: Final answer
    x = 399.89

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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.