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Finding the Fourth Proportional to 640.56, 884.07 and 404.70

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Solution

The fourth proportional to 640.56, 884.07 and 404.70 is: 558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.56 : 884.07 = 404.70 : x
  2. Step 2: Convert to fraction form
    640.56/884.07 = 404.70/x
  3. Step 3: Cross multiply
    640.56x = 884.07 × 404.70
  4. Step 4: Simplify right side
    640.56x = 357,783.13
  5. Step 5: Solve for x
    x = 357,783.13/640.56
  6. Step 6: Final answer
    x = 558.55

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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.