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Finding the Fourth Proportional to 649.42, 896.26 and 369.66

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Solution

The fourth proportional to 649.42, 896.26 and 369.66 is: 510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 896.26 = 369.66 : x
  2. Step 2: Convert to fraction form
    649.42/896.26 = 369.66/x
  3. Step 3: Cross multiply
    649.42x = 896.26 × 369.66
  4. Step 4: Simplify right side
    649.42x = 331,310.55
  5. Step 5: Solve for x
    x = 331,310.55/649.42
  6. Step 6: Final answer
    x = 510.17

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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.