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Finding the Fourth Proportional to 652.72, 979.32 and 364.36

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Solution

The fourth proportional to 652.72, 979.32 and 364.36 is: 546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.72 : 979.32 = 364.36 : x
  2. Step 2: Convert to fraction form
    652.72/979.32 = 364.36/x
  3. Step 3: Cross multiply
    652.72x = 979.32 × 364.36
  4. Step 4: Simplify right side
    652.72x = 356,825.04
  5. Step 5: Solve for x
    x = 356,825.04/652.72
  6. Step 6: Final answer
    x = 546.67

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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.