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Finding the Fourth Proportional to 649.77, 969.50 and 610.38

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Solution

The fourth proportional to 649.77, 969.50 and 610.38 is: 910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.77 : 969.50 = 610.38 : x
  2. Step 2: Convert to fraction form
    649.77/969.50 = 610.38/x
  3. Step 3: Cross multiply
    649.77x = 969.50 × 610.38
  4. Step 4: Simplify right side
    649.77x = 591,763.41
  5. Step 5: Solve for x
    x = 591,763.41/649.77
  6. Step 6: Final answer
    x = 910.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.