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Finding the Fourth Proportional to 611.04, 842.64 and 411.92

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Solution

The fourth proportional to 611.04, 842.64 and 411.92 is: 568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.04 : 842.64 = 411.92 : x
  2. Step 2: Convert to fraction form
    611.04/842.64 = 411.92/x
  3. Step 3: Cross multiply
    611.04x = 842.64 × 411.92
  4. Step 4: Simplify right side
    611.04x = 347,100.27
  5. Step 5: Solve for x
    x = 347,100.27/611.04
  6. Step 6: Final answer
    x = 568.05

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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.