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Finding the Fourth Proportional to 412.91, 616.42 and 377.37

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Solution

The fourth proportional to 412.91, 616.42 and 377.37 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.91 : 616.42 = 377.37 : x
  2. Step 2: Convert to fraction form
    412.91/616.42 = 377.37/x
  3. Step 3: Cross multiply
    412.91x = 616.42 × 377.37
  4. Step 4: Simplify right side
    412.91x = 232,618.89
  5. Step 5: Solve for x
    x = 232,618.89/412.91
  6. Step 6: Final answer
    x = 563.37

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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.