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Finding the Fourth Proportional to 611.96, 842.34 and 553.64

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Solution

The fourth proportional to 611.96, 842.34 and 553.64 is: 762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.96 : 842.34 = 553.64 : x
  2. Step 2: Convert to fraction form
    611.96/842.34 = 553.64/x
  3. Step 3: Cross multiply
    611.96x = 842.34 × 553.64
  4. Step 4: Simplify right side
    611.96x = 466,353.12
  5. Step 5: Solve for x
    x = 466,353.12/611.96
  6. Step 6: Final answer
    x = 762.06

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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.