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Finding the Fourth Proportional to 640.39, 883.12 and 416.03

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Solution

The fourth proportional to 640.39, 883.12 and 416.03 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.39 : 883.12 = 416.03 : x
  2. Step 2: Convert to fraction form
    640.39/883.12 = 416.03/x
  3. Step 3: Cross multiply
    640.39x = 883.12 × 416.03
  4. Step 4: Simplify right side
    640.39x = 367,404.41
  5. Step 5: Solve for x
    x = 367,404.41/640.39
  6. Step 6: Final answer
    x = 573.72

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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.