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Finding the Fourth Proportional to 618.52, 926.62 and 412.48

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Solution

The fourth proportional to 618.52, 926.62 and 412.48 is: 617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.52 : 926.62 = 412.48 : x
  2. Step 2: Convert to fraction form
    618.52/926.62 = 412.48/x
  3. Step 3: Cross multiply
    618.52x = 926.62 × 412.48
  4. Step 4: Simplify right side
    618.52x = 382,212.22
  5. Step 5: Solve for x
    x = 382,212.22/618.52
  6. Step 6: Final answer
    x = 617.95

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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.