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Finding the Fourth Proportional to 611.46, 842.48 and 511.52

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Solution

The fourth proportional to 611.46, 842.48 and 511.52 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.46 : 842.48 = 511.52 : x
  2. Step 2: Convert to fraction form
    611.46/842.48 = 511.52/x
  3. Step 3: Cross multiply
    611.46x = 842.48 × 511.52
  4. Step 4: Simplify right side
    611.46x = 430,945.37
  5. Step 5: Solve for x
    x = 430,945.37/611.46
  6. Step 6: Final answer
    x = 704.78

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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.