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Finding the Fourth Proportional to 615.30, 921.89 and 406.94

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Solution

The fourth proportional to 615.30, 921.89 and 406.94 is: 609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.30 : 921.89 = 406.94 : x
  2. Step 2: Convert to fraction form
    615.30/921.89 = 406.94/x
  3. Step 3: Cross multiply
    615.30x = 921.89 × 406.94
  4. Step 4: Simplify right side
    615.30x = 375,147.27
  5. Step 5: Solve for x
    x = 375,147.27/615.30
  6. Step 6: Final answer
    x = 609.70

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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.