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Finding the Fourth Proportional to 615.46, 849.03 and 419.23

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Solution

The fourth proportional to 615.46, 849.03 and 419.23 is: 578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.46 : 849.03 = 419.23 : x
  2. Step 2: Convert to fraction form
    615.46/849.03 = 419.23/x
  3. Step 3: Cross multiply
    615.46x = 849.03 × 419.23
  4. Step 4: Simplify right side
    615.46x = 355,938.85
  5. Step 5: Solve for x
    x = 355,938.85/615.46
  6. Step 6: Final answer
    x = 578.33

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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.