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Finding the Fourth Proportional to 614.86, 921.39 and 285.90

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Solution

The fourth proportional to 614.86, 921.39 and 285.90 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.86 : 921.39 = 285.90 : x
  2. Step 2: Convert to fraction form
    614.86/921.39 = 285.90/x
  3. Step 3: Cross multiply
    614.86x = 921.39 × 285.90
  4. Step 4: Simplify right side
    614.86x = 263,419.36
  5. Step 5: Solve for x
    x = 263,419.36/614.86
  6. Step 6: Final answer
    x = 428.43

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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.