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Finding the Fourth Proportional to 905.47, 1,357.38 and 328.21

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Solution

The fourth proportional to 905.47, 1,357.38 and 328.21 is: 492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.47 : 1,357.38 = 328.21 : x
  2. Step 2: Convert to fraction form
    905.47/1,357.38 = 328.21/x
  3. Step 3: Cross multiply
    905.47x = 1,357.38 × 328.21
  4. Step 4: Simplify right side
    905.47x = 445,502.30
  5. Step 5: Solve for x
    x = 445,502.30/905.47
  6. Step 6: Final answer
    x = 492.01

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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.