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Finding the Fourth Proportional to 653.11, 979.89 and 409.35

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Solution

The fourth proportional to 653.11, 979.89 and 409.35 is: 614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.11 : 979.89 = 409.35 : x
  2. Step 2: Convert to fraction form
    653.11/979.89 = 409.35/x
  3. Step 3: Cross multiply
    653.11x = 979.89 × 409.35
  4. Step 4: Simplify right side
    653.11x = 401,117.97
  5. Step 5: Solve for x
    x = 401,117.97/653.11
  6. Step 6: Final answer
    x = 614.17

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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.