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Finding the Fourth Proportional to 624.78, 934.86 and 391.82

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Solution

The fourth proportional to 624.78, 934.86 and 391.82 is: 586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.78 : 934.86 = 391.82 : x
  2. Step 2: Convert to fraction form
    624.78/934.86 = 391.82/x
  3. Step 3: Cross multiply
    624.78x = 934.86 × 391.82
  4. Step 4: Simplify right side
    624.78x = 366,296.85
  5. Step 5: Solve for x
    x = 366,296.85/624.78
  6. Step 6: Final answer
    x = 586.28

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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.