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Finding the Fourth Proportional to 640.51, 882.97 and 500.47

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Solution

The fourth proportional to 640.51, 882.97 and 500.47 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.51 : 882.97 = 500.47 : x
  2. Step 2: Convert to fraction form
    640.51/882.97 = 500.47/x
  3. Step 3: Cross multiply
    640.51x = 882.97 × 500.47
  4. Step 4: Simplify right side
    640.51x = 441,896.54
  5. Step 5: Solve for x
    x = 441,896.54/640.51
  6. Step 6: Final answer
    x = 689.92

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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.