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Finding the Fourth Proportional to 615.24, 849.33 and 419.78

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Solution

The fourth proportional to 615.24, 849.33 and 419.78 is: 579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.24 : 849.33 = 419.78 : x
  2. Step 2: Convert to fraction form
    615.24/849.33 = 419.78/x
  3. Step 3: Cross multiply
    615.24x = 849.33 × 419.78
  4. Step 4: Simplify right side
    615.24x = 356,527.50
  5. Step 5: Solve for x
    x = 356,527.50/615.24
  6. Step 6: Final answer
    x = 579.49

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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.