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Finding the Fourth Proportional to 649.78, 896.64 and 355.03

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Solution

The fourth proportional to 649.78, 896.64 and 355.03 is: 489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.78 : 896.64 = 355.03 : x
  2. Step 2: Convert to fraction form
    649.78/896.64 = 355.03/x
  3. Step 3: Cross multiply
    649.78x = 896.64 × 355.03
  4. Step 4: Simplify right side
    649.78x = 318,334.10
  5. Step 5: Solve for x
    x = 318,334.10/649.78
  6. Step 6: Final answer
    x = 489.91

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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.