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Finding the Fourth Proportional to 659.81, 910.96 and 411.23

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Solution

The fourth proportional to 659.81, 910.96 and 411.23 is: 567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.81 : 910.96 = 411.23 : x
  2. Step 2: Convert to fraction form
    659.81/910.96 = 411.23/x
  3. Step 3: Cross multiply
    659.81x = 910.96 × 411.23
  4. Step 4: Simplify right side
    659.81x = 374,608.50
  5. Step 5: Solve for x
    x = 374,608.50/659.81
  6. Step 6: Final answer
    x = 567.76

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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.