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Finding the Fourth Proportional to 905.69, 1,358.19 and 320.59

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Solution

The fourth proportional to 905.69, 1,358.19 and 320.59 is: 480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.69 : 1,358.19 = 320.59 : x
  2. Step 2: Convert to fraction form
    905.69/1,358.19 = 320.59/x
  3. Step 3: Cross multiply
    905.69x = 1,358.19 × 320.59
  4. Step 4: Simplify right side
    905.69x = 435,419.00
  5. Step 5: Solve for x
    x = 435,419.00/905.69
  6. Step 6: Final answer
    x = 480.76

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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.