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Finding the Fourth Proportional to 622.72, 934.56 and 406.40

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Solution

The fourth proportional to 622.72, 934.56 and 406.40 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.72 : 934.56 = 406.40 : x
  2. Step 2: Convert to fraction form
    622.72/934.56 = 406.40/x
  3. Step 3: Cross multiply
    622.72x = 934.56 × 406.40
  4. Step 4: Simplify right side
    622.72x = 379,805.18
  5. Step 5: Solve for x
    x = 379,805.18/622.72
  6. Step 6: Final answer
    x = 609.91

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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.