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Finding the Fourth Proportional to 615.52, 920.98 and 410.60

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Solution

The fourth proportional to 615.52, 920.98 and 410.60 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.52 : 920.98 = 410.60 : x
  2. Step 2: Convert to fraction form
    615.52/920.98 = 410.60/x
  3. Step 3: Cross multiply
    615.52x = 920.98 × 410.60
  4. Step 4: Simplify right side
    615.52x = 378,154.39
  5. Step 5: Solve for x
    x = 378,154.39/615.52
  6. Step 6: Final answer
    x = 614.37

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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.