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Finding the Fourth Proportional to 661.10, 911.16 and 584.73

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Solution

The fourth proportional to 661.10, 911.16 and 584.73 is: 805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.10 : 911.16 = 584.73 : x
  2. Step 2: Convert to fraction form
    661.10/911.16 = 584.73/x
  3. Step 3: Cross multiply
    661.10x = 911.16 × 584.73
  4. Step 4: Simplify right side
    661.10x = 532,778.38
  5. Step 5: Solve for x
    x = 532,778.38/661.10
  6. Step 6: Final answer
    x = 805.89

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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.