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Finding the Fourth Proportional to 681.78, 941.18 and 460.65

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Solution

The fourth proportional to 681.78, 941.18 and 460.65 is: 635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.78 : 941.18 = 460.65 : x
  2. Step 2: Convert to fraction form
    681.78/941.18 = 460.65/x
  3. Step 3: Cross multiply
    681.78x = 941.18 × 460.65
  4. Step 4: Simplify right side
    681.78x = 433,552.26
  5. Step 5: Solve for x
    x = 433,552.26/681.78
  6. Step 6: Final answer
    x = 635.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.