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Finding the Fourth Proportional to 969.65, 1,455.33 and 639.66

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Solution

The fourth proportional to 969.65, 1,455.33 and 639.66 is: 960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.65 : 1,455.33 = 639.66 : x
  2. Step 2: Convert to fraction form
    969.65/1,455.33 = 639.66/x
  3. Step 3: Cross multiply
    969.65x = 1,455.33 × 639.66
  4. Step 4: Simplify right side
    969.65x = 930,916.39
  5. Step 5: Solve for x
    x = 930,916.39/969.65
  6. Step 6: Final answer
    x = 960.05

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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.