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Finding the Fourth Proportional to 614.70, 922.28 and 289.82

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Solution

The fourth proportional to 614.70, 922.28 and 289.82 is: 434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 922.28 = 289.82 : x
  2. Step 2: Convert to fraction form
    614.70/922.28 = 289.82/x
  3. Step 3: Cross multiply
    614.70x = 922.28 × 289.82
  4. Step 4: Simplify right side
    614.70x = 267,296.05
  5. Step 5: Solve for x
    x = 267,296.05/614.70
  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.