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Finding the Fourth Proportional to 614.02, 919.10 and 394.36

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Solution

The fourth proportional to 614.02, 919.10 and 394.36 is: 590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 919.10 = 394.36 : x
  2. Step 2: Convert to fraction form
    614.02/919.10 = 394.36/x
  3. Step 3: Cross multiply
    614.02x = 919.10 × 394.36
  4. Step 4: Simplify right side
    614.02x = 362,456.28
  5. Step 5: Solve for x
    x = 362,456.28/614.02
  6. Step 6: Final answer
    x = 590.30

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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.