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Finding the Fourth Proportional to 972.20, 1,338.54 and 905.96

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Solution

The fourth proportional to 972.20, 1,338.54 and 905.96 is: 1,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.20 : 1,338.54 = 905.96 : x
  2. Step 2: Convert to fraction form
    972.20/1,338.54 = 905.96/x
  3. Step 3: Cross multiply
    972.20x = 1,338.54 × 905.96
  4. Step 4: Simplify right side
    972.20x = 1,212,663.70
  5. Step 5: Solve for x
    x = 1,212,663.70/972.20
  6. Step 6: Final answer
    x = 1,247.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.