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Finding the Fourth Proportional to 1,166.22, 1,609.18 and 717.94

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Solution

The fourth proportional to 1,166.22, 1,609.18 and 717.94 is: 990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.22 : 1,609.18 = 717.94 : x
  2. Step 2: Convert to fraction form
    1,166.22/1,609.18 = 717.94/x
  3. Step 3: Cross multiply
    1,166.22x = 1,609.18 × 717.94
  4. Step 4: Simplify right side
    1,166.22x = 1,155,294.69
  5. Step 5: Solve for x
    x = 1,155,294.69/1,166.22
  6. Step 6: Final answer
    x = 990.63

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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.