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Finding the Fourth Proportional to 659, 988.50 and 274.28

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Solution

The fourth proportional to 659, 988.50 and 274.28 is: 411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 988.50 = 274.28 : x
  2. Step 2: Convert to fraction form
    659/988.50 = 274.28/x
  3. Step 3: Cross multiply
    659x = 988.50 × 274.28
  4. Step 4: Simplify right side
    659x = 271,125.78
  5. Step 5: Solve for x
    x = 271,125.78/659
  6. Step 6: Final answer
    x = 411.42

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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.