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Finding the Fourth Proportional to 845.26, 1,166.49 and 491.17

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Solution

The fourth proportional to 845.26, 1,166.49 and 491.17 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.26 : 1,166.49 = 491.17 : x
  2. Step 2: Convert to fraction form
    845.26/1,166.49 = 491.17/x
  3. Step 3: Cross multiply
    845.26x = 1,166.49 × 491.17
  4. Step 4: Simplify right side
    845.26x = 572,944.89
  5. Step 5: Solve for x
    x = 572,944.89/845.26
  6. Step 6: Final answer
    x = 677.83

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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.