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Finding the Fourth Proportional to 687.11, 1,029.80 and 276.02

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Solution

The fourth proportional to 687.11, 1,029.80 and 276.02 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.11 : 1,029.80 = 276.02 : x
  2. Step 2: Convert to fraction form
    687.11/1,029.80 = 276.02/x
  3. Step 3: Cross multiply
    687.11x = 1,029.80 × 276.02
  4. Step 4: Simplify right side
    687.11x = 284,238.87
  5. Step 5: Solve for x
    x = 284,238.87/687.11
  6. Step 6: Final answer
    x = 413.68

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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.