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Finding the Fourth Proportional to 640.14, 882.60 and 415.70

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Solution

The fourth proportional to 640.14, 882.60 and 415.70 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.14 : 882.60 = 415.70 : x
  2. Step 2: Convert to fraction form
    640.14/882.60 = 415.70/x
  3. Step 3: Cross multiply
    640.14x = 882.60 × 415.70
  4. Step 4: Simplify right side
    640.14x = 366,896.82
  5. Step 5: Solve for x
    x = 366,896.82/640.14
  6. Step 6: Final answer
    x = 573.15

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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.