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Finding the Fourth Proportional to 614.37, 919.29 and 540.90

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Solution

The fourth proportional to 614.37, 919.29 and 540.90 is: 809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.37 : 919.29 = 540.90 : x
  2. Step 2: Convert to fraction form
    614.37/919.29 = 540.90/x
  3. Step 3: Cross multiply
    614.37x = 919.29 × 540.90
  4. Step 4: Simplify right side
    614.37x = 497,243.96
  5. Step 5: Solve for x
    x = 497,243.96/614.37
  6. Step 6: Final answer
    x = 809.36

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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.