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Finding the Fourth Proportional to 905.24, 1,358.06 and 328.10

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Solution

The fourth proportional to 905.24, 1,358.06 and 328.10 is: 492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.24 : 1,358.06 = 328.10 : x
  2. Step 2: Convert to fraction form
    905.24/1,358.06 = 328.10/x
  3. Step 3: Cross multiply
    905.24x = 1,358.06 × 328.10
  4. Step 4: Simplify right side
    905.24x = 445,579.49
  5. Step 5: Solve for x
    x = 445,579.49/905.24
  6. Step 6: Final answer
    x = 492.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.