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Finding the Fourth Proportional to 640.98, 882.36 and 474.66

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Solution

The fourth proportional to 640.98, 882.36 and 474.66 is: 653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.98 : 882.36 = 474.66 : x
  2. Step 2: Convert to fraction form
    640.98/882.36 = 474.66/x
  3. Step 3: Cross multiply
    640.98x = 882.36 × 474.66
  4. Step 4: Simplify right side
    640.98x = 418,821.00
  5. Step 5: Solve for x
    x = 418,821.00/640.98
  6. Step 6: Final answer
    x = 653.41

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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.