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Finding the Fourth Proportional to 653.31, 984.39 and 540.29

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Solution

The fourth proportional to 653.31, 984.39 and 540.29 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.31 : 984.39 = 540.29 : x
  2. Step 2: Convert to fraction form
    653.31/984.39 = 540.29/x
  3. Step 3: Cross multiply
    653.31x = 984.39 × 540.29
  4. Step 4: Simplify right side
    653.31x = 531,856.07
  5. Step 5: Solve for x
    x = 531,856.07/653.31
  6. Step 6: Final answer
    x = 814.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.