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Finding the Fourth Proportional to 615.74, 842.91 and 611.34

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Solution

The fourth proportional to 615.74, 842.91 and 611.34 is: 836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.74 : 842.91 = 611.34 : x
  2. Step 2: Convert to fraction form
    615.74/842.91 = 611.34/x
  3. Step 3: Cross multiply
    615.74x = 842.91 × 611.34
  4. Step 4: Simplify right side
    615.74x = 515,304.63
  5. Step 5: Solve for x
    x = 515,304.63/615.74
  6. Step 6: Final answer
    x = 836.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.