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Finding the Fourth Proportional to 640.90, 884.48 and 357.36

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Solution

The fourth proportional to 640.90, 884.48 and 357.36 is: 493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.90 : 884.48 = 357.36 : x
  2. Step 2: Convert to fraction form
    640.90/884.48 = 357.36/x
  3. Step 3: Cross multiply
    640.90x = 884.48 × 357.36
  4. Step 4: Simplify right side
    640.90x = 316,071.56
  5. Step 5: Solve for x
    x = 316,071.56/640.90
  6. Step 6: Final answer
    x = 493.17

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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.