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Finding the Fourth Proportional to 661.88, 994.26 and 540.44

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Solution

The fourth proportional to 661.88, 994.26 and 540.44 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 994.26 = 540.44 : x
  2. Step 2: Convert to fraction form
    661.88/994.26 = 540.44/x
  3. Step 3: Cross multiply
    661.88x = 994.26 × 540.44
  4. Step 4: Simplify right side
    661.88x = 537,337.87
  5. Step 5: Solve for x
    x = 537,337.87/661.88
  6. Step 6: Final answer
    x = 811.84

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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.