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Finding the Fourth Proportional to 968.66, 1,454.97 and 640.07

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Solution

The fourth proportional to 968.66, 1,454.97 and 640.07 is: 961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.66 : 1,454.97 = 640.07 : x
  2. Step 2: Convert to fraction form
    968.66/1,454.97 = 640.07/x
  3. Step 3: Cross multiply
    968.66x = 1,454.97 × 640.07
  4. Step 4: Simplify right side
    968.66x = 931,282.65
  5. Step 5: Solve for x
    x = 931,282.65/968.66
  6. Step 6: Final answer
    x = 961.41

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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.