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Finding the Fourth Proportional to 601.97, 903.63 and 328.73

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Solution

The fourth proportional to 601.97, 903.63 and 328.73 is: 493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.97 : 903.63 = 328.73 : x
  2. Step 2: Convert to fraction form
    601.97/903.63 = 328.73/x
  3. Step 3: Cross multiply
    601.97x = 903.63 × 328.73
  4. Step 4: Simplify right side
    601.97x = 297,050.29
  5. Step 5: Solve for x
    x = 297,050.29/601.97
  6. Step 6: Final answer
    x = 493.46

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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.