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Finding the Fourth Proportional to 611.78, 842.84 and 452.31

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Solution

The fourth proportional to 611.78, 842.84 and 452.31 is: 623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.78 : 842.84 = 452.31 : x
  2. Step 2: Convert to fraction form
    611.78/842.84 = 452.31/x
  3. Step 3: Cross multiply
    611.78x = 842.84 × 452.31
  4. Step 4: Simplify right side
    611.78x = 381,220.75
  5. Step 5: Solve for x
    x = 381,220.75/611.78
  6. Step 6: Final answer
    x = 623.14

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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.