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Finding the Fourth Proportional to 969.72, 1,337.04 and 772.98

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Solution

The fourth proportional to 969.72, 1,337.04 and 772.98 is: 1,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.72 : 1,337.04 = 772.98 : x
  2. Step 2: Convert to fraction form
    969.72/1,337.04 = 772.98/x
  3. Step 3: Cross multiply
    969.72x = 1,337.04 × 772.98
  4. Step 4: Simplify right side
    969.72x = 1,033,505.18
  5. Step 5: Solve for x
    x = 1,033,505.18/969.72
  6. Step 6: Final answer
    x = 1,065.78

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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.