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Finding the Fourth Proportional to 618.12, 927.45 and 465.35

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Solution

The fourth proportional to 618.12, 927.45 and 465.35 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.12 : 927.45 = 465.35 : x
  2. Step 2: Convert to fraction form
    618.12/927.45 = 465.35/x
  3. Step 3: Cross multiply
    618.12x = 927.45 × 465.35
  4. Step 4: Simplify right side
    618.12x = 431,584.22
  5. Step 5: Solve for x
    x = 431,584.22/618.12
  6. Step 6: Final answer
    x = 698.22

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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.