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Finding the Fourth Proportional to 905.23, 1,357.35 and 320.19

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Solution

The fourth proportional to 905.23, 1,357.35 and 320.19 is: 480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.23 : 1,357.35 = 320.19 : x
  2. Step 2: Convert to fraction form
    905.23/1,357.35 = 320.19/x
  3. Step 3: Cross multiply
    905.23x = 1,357.35 × 320.19
  4. Step 4: Simplify right side
    905.23x = 434,609.90
  5. Step 5: Solve for x
    x = 434,609.90/905.23
  6. Step 6: Final answer
    x = 480.11

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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.