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Finding the Fourth Proportional to 610.00, 913.88 and 378.43

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Solution

The fourth proportional to 610.00, 913.88 and 378.43 is: 566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.00 : 913.88 = 378.43 : x
  2. Step 2: Convert to fraction form
    610.00/913.88 = 378.43/x
  3. Step 3: Cross multiply
    610.00x = 913.88 × 378.43
  4. Step 4: Simplify right side
    610.00x = 345,838.27
  5. Step 5: Solve for x
    x = 345,838.27/610.00
  6. Step 6: Final answer
    x = 566.95

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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.