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Finding the Fourth Proportional to 648.87, 976.82 and 592.38

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Solution

The fourth proportional to 648.87, 976.82 and 592.38 is: 891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.87 : 976.82 = 592.38 : x
  2. Step 2: Convert to fraction form
    648.87/976.82 = 592.38/x
  3. Step 3: Cross multiply
    648.87x = 976.82 × 592.38
  4. Step 4: Simplify right side
    648.87x = 578,641.97
  5. Step 5: Solve for x
    x = 578,641.97/648.87
  6. Step 6: Final answer
    x = 891.76

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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.