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Finding the Fourth Proportional to 640.65, 960.14 and 366.87

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Solution

The fourth proportional to 640.65, 960.14 and 366.87 is: 549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.65 : 960.14 = 366.87 : x
  2. Step 2: Convert to fraction form
    640.65/960.14 = 366.87/x
  3. Step 3: Cross multiply
    640.65x = 960.14 × 366.87
  4. Step 4: Simplify right side
    640.65x = 352,244.73
  5. Step 5: Solve for x
    x = 352,244.73/640.65
  6. Step 6: Final answer
    x = 549.82

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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.