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Finding the Fourth Proportional to 905.80, 1,358.88 and 328.72

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Solution

The fourth proportional to 905.80, 1,358.88 and 328.72 is: 493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.80 : 1,358.88 = 328.72 : x
  2. Step 2: Convert to fraction form
    905.80/1,358.88 = 328.72/x
  3. Step 3: Cross multiply
    905.80x = 1,358.88 × 328.72
  4. Step 4: Simplify right side
    905.80x = 446,691.03
  5. Step 5: Solve for x
    x = 446,691.03/905.80
  6. Step 6: Final answer
    x = 493.15

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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.