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Finding the Fourth Proportional to 969.81, 1,337.73 and 845.76

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Solution

The fourth proportional to 969.81, 1,337.73 and 845.76 is: 1,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.81 : 1,337.73 = 845.76 : x
  2. Step 2: Convert to fraction form
    969.81/1,337.73 = 845.76/x
  3. Step 3: Cross multiply
    969.81x = 1,337.73 × 845.76
  4. Step 4: Simplify right side
    969.81x = 1,131,398.52
  5. Step 5: Solve for x
    x = 1,131,398.52/969.81
  6. Step 6: Final answer
    x = 1,166.62

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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.