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Finding the Fourth Proportional to 614.39, 919.47 and 380.03

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Solution

The fourth proportional to 614.39, 919.47 and 380.03 is: 568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.39 : 919.47 = 380.03 : x
  2. Step 2: Convert to fraction form
    614.39/919.47 = 380.03/x
  3. Step 3: Cross multiply
    614.39x = 919.47 × 380.03
  4. Step 4: Simplify right side
    614.39x = 349,426.18
  5. Step 5: Solve for x
    x = 349,426.18/614.39
  6. Step 6: Final answer
    x = 568.74

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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.