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Finding the Fourth Proportional to 640.79, 884.25 and 404.78

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Solution

The fourth proportional to 640.79, 884.25 and 404.78 is: 558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.79 : 884.25 = 404.78 : x
  2. Step 2: Convert to fraction form
    640.79/884.25 = 404.78/x
  3. Step 3: Cross multiply
    640.79x = 884.25 × 404.78
  4. Step 4: Simplify right side
    640.79x = 357,922.29
  5. Step 5: Solve for x
    x = 357,922.29/640.79
  6. Step 6: Final answer
    x = 558.57

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