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Finding the Fourth Proportional to 616.49, 925.78 and 412.37

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Solution

The fourth proportional to 616.49, 925.78 and 412.37 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.49 : 925.78 = 412.37 : x
  2. Step 2: Convert to fraction form
    616.49/925.78 = 412.37/x
  3. Step 3: Cross multiply
    616.49x = 925.78 × 412.37
  4. Step 4: Simplify right side
    616.49x = 381,763.90
  5. Step 5: Solve for x
    x = 381,763.90/616.49
  6. Step 6: Final answer
    x = 619.25

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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.