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Finding the Fourth Proportional to 648.97, 976.98 and 582

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Solution

The fourth proportional to 648.97, 976.98 and 582 is: 876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.97 : 976.98 = 582 : x
  2. Step 2: Convert to fraction form
    648.97/976.98 = 582/x
  3. Step 3: Cross multiply
    648.97x = 976.98 × 582
  4. Step 4: Simplify right side
    648.97x = 568,602.36
  5. Step 5: Solve for x
    x = 568,602.36/648.97
  6. Step 6: Final answer
    x = 876.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.