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Finding the Fourth Proportional to 649.92, 896.96 and 401.39

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Solution

The fourth proportional to 649.92, 896.96 and 401.39 is: 553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 896.96 = 401.39 : x
  2. Step 2: Convert to fraction form
    649.92/896.96 = 401.39/x
  3. Step 3: Cross multiply
    649.92x = 896.96 × 401.39
  4. Step 4: Simplify right side
    649.92x = 360,028.40
  5. Step 5: Solve for x
    x = 360,028.40/649.92
  6. Step 6: Final answer
    x = 553.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.