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Finding the Fourth Proportional to 653.63, 979.91 and 447.69

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Solution

The fourth proportional to 653.63, 979.91 and 447.69 is: 671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 979.91 = 447.69 : x
  2. Step 2: Convert to fraction form
    653.63/979.91 = 447.69/x
  3. Step 3: Cross multiply
    653.63x = 979.91 × 447.69
  4. Step 4: Simplify right side
    653.63x = 438,695.91
  5. Step 5: Solve for x
    x = 438,695.91/653.63
  6. Step 6: Final answer
    x = 671.17

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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.