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Finding the Fourth Proportional to 649.76, 896.28 and 416.48

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Solution

The fourth proportional to 649.76, 896.28 and 416.48 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 896.28 = 416.48 : x
  2. Step 2: Convert to fraction form
    649.76/896.28 = 416.48/x
  3. Step 3: Cross multiply
    649.76x = 896.28 × 416.48
  4. Step 4: Simplify right side
    649.76x = 373,282.69
  5. Step 5: Solve for x
    x = 373,282.69/649.76
  6. Step 6: Final answer
    x = 574.49

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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.