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Finding the Fourth Proportional to 611.61, 844.11 and 513.33

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Solution

The fourth proportional to 611.61, 844.11 and 513.33 is: 708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.61 : 844.11 = 513.33 : x
  2. Step 2: Convert to fraction form
    611.61/844.11 = 513.33/x
  3. Step 3: Cross multiply
    611.61x = 844.11 × 513.33
  4. Step 4: Simplify right side
    611.61x = 433,306.99
  5. Step 5: Solve for x
    x = 433,306.99/611.61
  6. Step 6: Final answer
    x = 708.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.