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Finding the Fourth Proportional to 653.40, 979.83 and 306.48

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Solution

The fourth proportional to 653.40, 979.83 and 306.48 is: 459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 979.83 = 306.48 : x
  2. Step 2: Convert to fraction form
    653.40/979.83 = 306.48/x
  3. Step 3: Cross multiply
    653.40x = 979.83 × 306.48
  4. Step 4: Simplify right side
    653.40x = 300,298.30
  5. Step 5: Solve for x
    x = 300,298.30/653.40
  6. Step 6: Final answer
    x = 459.59

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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.