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Finding the Fourth Proportional to 653.52, 984.71 and 540.48

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Solution

The fourth proportional to 653.52, 984.71 and 540.48 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 984.71 = 540.48 : x
  2. Step 2: Convert to fraction form
    653.52/984.71 = 540.48/x
  3. Step 3: Cross multiply
    653.52x = 984.71 × 540.48
  4. Step 4: Simplify right side
    653.52x = 532,216.06
  5. Step 5: Solve for x
    x = 532,216.06/653.52
  6. Step 6: Final answer
    x = 814.38

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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.