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Finding the Fourth Proportional to 859.50, 1,288.87 and 274.40

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Solution

The fourth proportional to 859.50, 1,288.87 and 274.40 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.50 : 1,288.87 = 274.40 : x
  2. Step 2: Convert to fraction form
    859.50/1,288.87 = 274.40/x
  3. Step 3: Cross multiply
    859.50x = 1,288.87 × 274.40
  4. Step 4: Simplify right side
    859.50x = 353,665.93
  5. Step 5: Solve for x
    x = 353,665.93/859.50
  6. Step 6: Final answer
    x = 411.48

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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.