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Finding the Fourth Proportional to 653.74, 979.91 and 406.95

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Solution

The fourth proportional to 653.74, 979.91 and 406.95 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.74 : 979.91 = 406.95 : x
  2. Step 2: Convert to fraction form
    653.74/979.91 = 406.95/x
  3. Step 3: Cross multiply
    653.74x = 979.91 × 406.95
  4. Step 4: Simplify right side
    653.74x = 398,767.44
  5. Step 5: Solve for x
    x = 398,767.44/653.74
  6. Step 6: Final answer
    x = 609.98

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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.