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Finding the Fourth Proportional to 641.69, 960.03 and 488.06

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Solution

The fourth proportional to 641.69, 960.03 and 488.06 is: 730.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.69 : 960.03 = 488.06 : x
  2. Step 2: Convert to fraction form
    641.69/960.03 = 488.06/x
  3. Step 3: Cross multiply
    641.69x = 960.03 × 488.06
  4. Step 4: Simplify right side
    641.69x = 468,552.24
  5. Step 5: Solve for x
    x = 468,552.24/641.69
  6. Step 6: Final answer
    x = 730.18

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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.