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Finding the Fourth Proportional to 862.17, 1,292.78 and 399.70

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Solution

The fourth proportional to 862.17, 1,292.78 and 399.70 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.17 : 1,292.78 = 399.70 : x
  2. Step 2: Convert to fraction form
    862.17/1,292.78 = 399.70/x
  3. Step 3: Cross multiply
    862.17x = 1,292.78 × 399.70
  4. Step 4: Simplify right side
    862.17x = 516,717.70
  5. Step 5: Solve for x
    x = 516,717.70/862.17
  6. Step 6: Final answer
    x = 599.32

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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.