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Finding the Fourth Proportional to 649.49, 896.23 and 380.32

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Solution

The fourth proportional to 649.49, 896.23 and 380.32 is: 524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 896.23 = 380.32 : x
  2. Step 2: Convert to fraction form
    649.49/896.23 = 380.32/x
  3. Step 3: Cross multiply
    649.49x = 896.23 × 380.32
  4. Step 4: Simplify right side
    649.49x = 340,854.19
  5. Step 5: Solve for x
    x = 340,854.19/649.49
  6. Step 6: Final answer
    x = 524.80

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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.