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Finding the Fourth Proportional to 677.87, 1,016.56 and 239

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Solution

The fourth proportional to 677.87, 1,016.56 and 239 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.87 : 1,016.56 = 239 : x
  2. Step 2: Convert to fraction form
    677.87/1,016.56 = 239/x
  3. Step 3: Cross multiply
    677.87x = 1,016.56 × 239
  4. Step 4: Simplify right side
    677.87x = 242,956.65
  5. Step 5: Solve for x
    x = 242,956.65/677.87
  6. Step 6: Final answer
    x = 358.41

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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.