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Finding the Fourth Proportional to 615.44, 920.80 and 410.48

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Solution

The fourth proportional to 615.44, 920.80 and 410.48 is: 614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.44 : 920.80 = 410.48 : x
  2. Step 2: Convert to fraction form
    615.44/920.80 = 410.48/x
  3. Step 3: Cross multiply
    615.44x = 920.80 × 410.48
  4. Step 4: Simplify right side
    615.44x = 377,969.98
  5. Step 5: Solve for x
    x = 377,969.98/615.44
  6. Step 6: Final answer
    x = 614.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.