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Finding the Fourth Proportional to 903.94, 1,356.04 and 326.95

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Solution

The fourth proportional to 903.94, 1,356.04 and 326.95 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.94 : 1,356.04 = 326.95 : x
  2. Step 2: Convert to fraction form
    903.94/1,356.04 = 326.95/x
  3. Step 3: Cross multiply
    903.94x = 1,356.04 × 326.95
  4. Step 4: Simplify right side
    903.94x = 443,354.30
  5. Step 5: Solve for x
    x = 443,354.30/903.94
  6. Step 6: Final answer
    x = 490.47

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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.