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Finding the Fourth Proportional to 677.54, 1,016.65 and 266.97

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Solution

The fourth proportional to 677.54, 1,016.65 and 266.97 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.54 : 1,016.65 = 266.97 : x
  2. Step 2: Convert to fraction form
    677.54/1,016.65 = 266.97/x
  3. Step 3: Cross multiply
    677.54x = 1,016.65 × 266.97
  4. Step 4: Simplify right side
    677.54x = 271,416.34
  5. Step 5: Solve for x
    x = 271,416.34/677.54
  6. Step 6: Final answer
    x = 400.59

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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.