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Finding the Fourth Proportional to 624.29, 934.41 and 349.70

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Solution

The fourth proportional to 624.29, 934.41 and 349.70 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.29 : 934.41 = 349.70 : x
  2. Step 2: Convert to fraction form
    624.29/934.41 = 349.70/x
  3. Step 3: Cross multiply
    624.29x = 934.41 × 349.70
  4. Step 4: Simplify right side
    624.29x = 326,763.18
  5. Step 5: Solve for x
    x = 326,763.18/624.29
  6. Step 6: Final answer
    x = 523.42

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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.