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Finding the Fourth Proportional to 649.52, 969.13 and 610.13

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Solution

The fourth proportional to 649.52, 969.13 and 610.13 is: 910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 969.13 = 610.13 : x
  2. Step 2: Convert to fraction form
    649.52/969.13 = 610.13/x
  3. Step 3: Cross multiply
    649.52x = 969.13 × 610.13
  4. Step 4: Simplify right side
    649.52x = 591,288.92
  5. Step 5: Solve for x
    x = 591,288.92/649.52
  6. Step 6: Final answer
    x = 910.35

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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.