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Finding the Fourth Proportional to 640.50, 883.85 and 360.78

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Solution

The fourth proportional to 640.50, 883.85 and 360.78 is: 497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 883.85 = 360.78 : x
  2. Step 2: Convert to fraction form
    640.50/883.85 = 360.78/x
  3. Step 3: Cross multiply
    640.50x = 883.85 × 360.78
  4. Step 4: Simplify right side
    640.50x = 318,873.60
  5. Step 5: Solve for x
    x = 318,873.60/640.50
  6. Step 6: Final answer
    x = 497.85

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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.