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Finding the Fourth Proportional to 680.53, 932.07 and 640.62

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Solution

The fourth proportional to 680.53, 932.07 and 640.62 is: 877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.53 : 932.07 = 640.62 : x
  2. Step 2: Convert to fraction form
    680.53/932.07 = 640.62/x
  3. Step 3: Cross multiply
    680.53x = 932.07 × 640.62
  4. Step 4: Simplify right side
    680.53x = 597,094.82
  5. Step 5: Solve for x
    x = 597,094.82/680.53
  6. Step 6: Final answer
    x = 877.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.