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Finding the Fourth Proportional to 845.43, 1,166.89 and 496.23

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Solution

The fourth proportional to 845.43, 1,166.89 and 496.23 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.43 : 1,166.89 = 496.23 : x
  2. Step 2: Convert to fraction form
    845.43/1,166.89 = 496.23/x
  3. Step 3: Cross multiply
    845.43x = 1,166.89 × 496.23
  4. Step 4: Simplify right side
    845.43x = 579,045.82
  5. Step 5: Solve for x
    x = 579,045.82/845.43
  6. Step 6: Final answer
    x = 684.91

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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.