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Finding the Fourth Proportional to 649.61, 896.31 and 369.78

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Solution

The fourth proportional to 649.61, 896.31 and 369.78 is: 510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.61 : 896.31 = 369.78 : x
  2. Step 2: Convert to fraction form
    649.61/896.31 = 369.78/x
  3. Step 3: Cross multiply
    649.61x = 896.31 × 369.78
  4. Step 4: Simplify right side
    649.61x = 331,437.51
  5. Step 5: Solve for x
    x = 331,437.51/649.61
  6. Step 6: Final answer
    x = 510.21

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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.