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Finding the Fourth Proportional to 649.24, 968.33 and 571.32

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Solution

The fourth proportional to 649.24, 968.33 and 571.32 is: 852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 968.33 = 571.32 : x
  2. Step 2: Convert to fraction form
    649.24/968.33 = 571.32/x
  3. Step 3: Cross multiply
    649.24x = 968.33 × 571.32
  4. Step 4: Simplify right side
    649.24x = 553,227.72
  5. Step 5: Solve for x
    x = 553,227.72/649.24
  6. Step 6: Final answer
    x = 852.12

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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.