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Finding the Fourth Proportional to 653.37, 984.56 and 540.36

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Solution

The fourth proportional to 653.37, 984.56 and 540.36 is: 814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 984.56 = 540.36 : x
  2. Step 2: Convert to fraction form
    653.37/984.56 = 540.36/x
  3. Step 3: Cross multiply
    653.37x = 984.56 × 540.36
  4. Step 4: Simplify right side
    653.37x = 532,012.76
  5. Step 5: Solve for x
    x = 532,012.76/653.37
  6. Step 6: Final answer
    x = 814.26

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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.