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Finding the Fourth Proportional to 969.35, 1,447.46 and 761.59

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Solution

The fourth proportional to 969.35, 1,447.46 and 761.59 is: 1,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.35 : 1,447.46 = 761.59 : x
  2. Step 2: Convert to fraction form
    969.35/1,447.46 = 761.59/x
  3. Step 3: Cross multiply
    969.35x = 1,447.46 × 761.59
  4. Step 4: Simplify right side
    969.35x = 1,102,363.82
  5. Step 5: Solve for x
    x = 1,102,363.82/969.35
  6. Step 6: Final answer
    x = 1,137.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.