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Finding the Fourth Proportional to 852.59, 1,278.92 and 390.44

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Solution

The fourth proportional to 852.59, 1,278.92 and 390.44 is: 585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.59 : 1,278.92 = 390.44 : x
  2. Step 2: Convert to fraction form
    852.59/1,278.92 = 390.44/x
  3. Step 3: Cross multiply
    852.59x = 1,278.92 × 390.44
  4. Step 4: Simplify right side
    852.59x = 499,345.70
  5. Step 5: Solve for x
    x = 499,345.70/852.59
  6. Step 6: Final answer
    x = 585.68

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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.