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Finding the Fourth Proportional to 649.10, 968.92 and 571.25

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Solution

The fourth proportional to 649.10, 968.92 and 571.25 is: 852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 968.92 = 571.25 : x
  2. Step 2: Convert to fraction form
    649.10/968.92 = 571.25/x
  3. Step 3: Cross multiply
    649.10x = 968.92 × 571.25
  4. Step 4: Simplify right side
    649.10x = 553,496.54
  5. Step 5: Solve for x
    x = 553,496.54/649.10
  6. Step 6: Final answer
    x = 852.71

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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.