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Finding the Fourth Proportional to 411.57, 616.64 and 289.26

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Solution

The fourth proportional to 411.57, 616.64 and 289.26 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 616.64 = 289.26 : x
  2. Step 2: Convert to fraction form
    411.57/616.64 = 289.26/x
  3. Step 3: Cross multiply
    411.57x = 616.64 × 289.26
  4. Step 4: Simplify right side
    411.57x = 178,369.29
  5. Step 5: Solve for x
    x = 178,369.29/411.57
  6. Step 6: Final answer
    x = 433.39

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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.