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Finding the Fourth Proportional to 903.66, 1,356.09 and 326.53

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Solution

The fourth proportional to 903.66, 1,356.09 and 326.53 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.66 : 1,356.09 = 326.53 : x
  2. Step 2: Convert to fraction form
    903.66/1,356.09 = 326.53/x
  3. Step 3: Cross multiply
    903.66x = 1,356.09 × 326.53
  4. Step 4: Simplify right side
    903.66x = 442,806.38
  5. Step 5: Solve for x
    x = 442,806.38/903.66
  6. Step 6: Final answer
    x = 490.02

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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.