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Finding the Fourth Proportional to 649.54, 896.35 and 362.06

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Solution

The fourth proportional to 649.54, 896.35 and 362.06 is: 499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 896.35 = 362.06 : x
  2. Step 2: Convert to fraction form
    649.54/896.35 = 362.06/x
  3. Step 3: Cross multiply
    649.54x = 896.35 × 362.06
  4. Step 4: Simplify right side
    649.54x = 324,532.48
  5. Step 5: Solve for x
    x = 324,532.48/649.54
  6. Step 6: Final answer
    x = 499.63

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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.