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Finding the Fourth Proportional to 649.70, 969.41 and 610.31

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Solution

The fourth proportional to 649.70, 969.41 and 610.31 is: 910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.70 : 969.41 = 610.31 : x
  2. Step 2: Convert to fraction form
    649.70/969.41 = 610.31/x
  3. Step 3: Cross multiply
    649.70x = 969.41 × 610.31
  4. Step 4: Simplify right side
    649.70x = 591,641.13
  5. Step 5: Solve for x
    x = 591,641.13/649.70
  6. Step 6: Final answer
    x = 910.64

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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.