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Finding the Fourth Proportional to 648.69, 976.70 and 572.13

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Solution

The fourth proportional to 648.69, 976.70 and 572.13 is: 861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.69 : 976.70 = 572.13 : x
  2. Step 2: Convert to fraction form
    648.69/976.70 = 572.13/x
  3. Step 3: Cross multiply
    648.69x = 976.70 × 572.13
  4. Step 4: Simplify right side
    648.69x = 558,796.51
  5. Step 5: Solve for x
    x = 558,796.51/648.69
  6. Step 6: Final answer
    x = 861.42

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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.