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Finding the Fourth Proportional to 622.94, 934.41 and 407.88

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Solution

The fourth proportional to 622.94, 934.41 and 407.88 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.94 : 934.41 = 407.88 : x
  2. Step 2: Convert to fraction form
    622.94/934.41 = 407.88/x
  3. Step 3: Cross multiply
    622.94x = 934.41 × 407.88
  4. Step 4: Simplify right side
    622.94x = 381,127.15
  5. Step 5: Solve for x
    x = 381,127.15/622.94
  6. Step 6: Final answer
    x = 611.82

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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.