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Finding the Fourth Proportional to 652.87, 979.48 and 328.42

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Solution

The fourth proportional to 652.87, 979.48 and 328.42 is: 492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.87 : 979.48 = 328.42 : x
  2. Step 2: Convert to fraction form
    652.87/979.48 = 328.42/x
  3. Step 3: Cross multiply
    652.87x = 979.48 × 328.42
  4. Step 4: Simplify right side
    652.87x = 321,680.82
  5. Step 5: Solve for x
    x = 321,680.82/652.87
  6. Step 6: Final answer
    x = 492.72

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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.