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Finding the Fourth Proportional to 677.17, 1,016.00 and 266.08

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Solution

The fourth proportional to 677.17, 1,016.00 and 266.08 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.17 : 1,016.00 = 266.08 : x
  2. Step 2: Convert to fraction form
    677.17/1,016.00 = 266.08/x
  3. Step 3: Cross multiply
    677.17x = 1,016.00 × 266.08
  4. Step 4: Simplify right side
    677.17x = 270,334.41
  5. Step 5: Solve for x
    x = 270,334.41/677.17
  6. Step 6: Final answer
    x = 399.21

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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.