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Finding the Fourth Proportional to 618.21, 930.93 and 446.07

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Solution

The fourth proportional to 618.21, 930.93 and 446.07 is: 671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.21 : 930.93 = 446.07 : x
  2. Step 2: Convert to fraction form
    618.21/930.93 = 446.07/x
  3. Step 3: Cross multiply
    618.21x = 930.93 × 446.07
  4. Step 4: Simplify right side
    618.21x = 415,259.95
  5. Step 5: Solve for x
    x = 415,259.95/618.21
  6. Step 6: Final answer
    x = 671.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.