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Finding the Fourth Proportional to 687.03, 1,029.33 and 361.68

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Solution

The fourth proportional to 687.03, 1,029.33 and 361.68 is: 541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.03 : 1,029.33 = 361.68 : x
  2. Step 2: Convert to fraction form
    687.03/1,029.33 = 361.68/x
  3. Step 3: Cross multiply
    687.03x = 1,029.33 × 361.68
  4. Step 4: Simplify right side
    687.03x = 372,288.07
  5. Step 5: Solve for x
    x = 372,288.07/687.03
  6. Step 6: Final answer
    x = 541.88

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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.