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Finding the Fourth Proportional to 477.57, 712.90 and 412.97

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Solution

The fourth proportional to 477.57, 712.90 and 412.97 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 712.90 = 412.97 : x
  2. Step 2: Convert to fraction form
    477.57/712.90 = 412.97/x
  3. Step 3: Cross multiply
    477.57x = 712.90 × 412.97
  4. Step 4: Simplify right side
    477.57x = 294,404.95
  5. Step 5: Solve for x
    x = 294,404.95/477.57
  6. Step 6: Final answer
    x = 616.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.