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Finding the Fourth Proportional to 614.75, 921.52 and 289.54

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Solution

The fourth proportional to 614.75, 921.52 and 289.54 is: 434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 921.52 = 289.54 : x
  2. Step 2: Convert to fraction form
    614.75/921.52 = 289.54/x
  3. Step 3: Cross multiply
    614.75x = 921.52 × 289.54
  4. Step 4: Simplify right side
    614.75x = 266,816.90
  5. Step 5: Solve for x
    x = 266,816.90/614.75
  6. Step 6: Final answer
    x = 434.03

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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.