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Finding the Fourth Proportional to 640.52, 883.78 and 493

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Solution

The fourth proportional to 640.52, 883.78 and 493 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.52 : 883.78 = 493 : x
  2. Step 2: Convert to fraction form
    640.52/883.78 = 493/x
  3. Step 3: Cross multiply
    640.52x = 883.78 × 493
  4. Step 4: Simplify right side
    640.52x = 435,703.54
  5. Step 5: Solve for x
    x = 435,703.54/640.52
  6. Step 6: Final answer
    x = 680.23

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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.