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Finding the Fourth Proportional to 435.02, 649.07 and 408.75

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Solution

The fourth proportional to 435.02, 649.07 and 408.75 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.02 : 649.07 = 408.75 : x
  2. Step 2: Convert to fraction form
    435.02/649.07 = 408.75/x
  3. Step 3: Cross multiply
    435.02x = 649.07 × 408.75
  4. Step 4: Simplify right side
    435.02x = 265,305.32
  5. Step 5: Solve for x
    x = 265,305.32/435.02
  6. Step 6: Final answer
    x = 609.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.