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Finding the Fourth Proportional to 654.67, 903.31 and 444.61

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Solution

The fourth proportional to 654.67, 903.31 and 444.61 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.67 : 903.31 = 444.61 : x
  2. Step 2: Convert to fraction form
    654.67/903.31 = 444.61/x
  3. Step 3: Cross multiply
    654.67x = 903.31 × 444.61
  4. Step 4: Simplify right side
    654.67x = 401,620.66
  5. Step 5: Solve for x
    x = 401,620.66/654.67
  6. Step 6: Final answer
    x = 613.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.