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Finding the Fourth Proportional to 614.28, 921.46 and 289.88

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Solution

The fourth proportional to 614.28, 921.46 and 289.88 is: 434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.28 : 921.46 = 289.88 : x
  2. Step 2: Convert to fraction form
    614.28/921.46 = 289.88/x
  3. Step 3: Cross multiply
    614.28x = 921.46 × 289.88
  4. Step 4: Simplify right side
    614.28x = 267,112.82
  5. Step 5: Solve for x
    x = 267,112.82/614.28
  6. Step 6: Final answer
    x = 434.84

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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.