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Finding the Fourth Proportional to 640.50, 883.78 and 404.61

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Solution

The fourth proportional to 640.50, 883.78 and 404.61 is: 558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 883.78 = 404.61 : x
  2. Step 2: Convert to fraction form
    640.50/883.78 = 404.61/x
  3. Step 3: Cross multiply
    640.50x = 883.78 × 404.61
  4. Step 4: Simplify right side
    640.50x = 357,586.23
  5. Step 5: Solve for x
    x = 357,586.23/640.50
  6. Step 6: Final answer
    x = 558.29

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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.