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Finding the Fourth Proportional to 653.58, 979.74 and 306.74

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Solution

The fourth proportional to 653.58, 979.74 and 306.74 is: 459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.58 : 979.74 = 306.74 : x
  2. Step 2: Convert to fraction form
    653.58/979.74 = 306.74/x
  3. Step 3: Cross multiply
    653.58x = 979.74 × 306.74
  4. Step 4: Simplify right side
    653.58x = 300,525.45
  5. Step 5: Solve for x
    x = 300,525.45/653.58
  6. Step 6: Final answer
    x = 459.81

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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.