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Finding the Fourth Proportional to 649.06, 896.14 and 499.41

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Solution

The fourth proportional to 649.06, 896.14 and 499.41 is: 689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.06 : 896.14 = 499.41 : x
  2. Step 2: Convert to fraction form
    649.06/896.14 = 499.41/x
  3. Step 3: Cross multiply
    649.06x = 896.14 × 499.41
  4. Step 4: Simplify right side
    649.06x = 447,541.28
  5. Step 5: Solve for x
    x = 447,541.28/649.06
  6. Step 6: Final answer
    x = 689.52

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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.