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Finding the Fourth Proportional to 435.84, 649.92 and 415.68

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Solution

The fourth proportional to 435.84, 649.92 and 415.68 is: 619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 649.92 = 415.68 : x
  2. Step 2: Convert to fraction form
    435.84/649.92 = 415.68/x
  3. Step 3: Cross multiply
    435.84x = 649.92 × 415.68
  4. Step 4: Simplify right side
    435.84x = 270,158.75
  5. Step 5: Solve for x
    x = 270,158.75/435.84
  6. Step 6: Final answer
    x = 619.86

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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.