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Finding the Fourth Proportional to 845.62, 1,166.98 and 496.52

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Solution

The fourth proportional to 845.62, 1,166.98 and 496.52 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.62 : 1,166.98 = 496.52 : x
  2. Step 2: Convert to fraction form
    845.62/1,166.98 = 496.52/x
  3. Step 3: Cross multiply
    845.62x = 1,166.98 × 496.52
  4. Step 4: Simplify right side
    845.62x = 579,428.91
  5. Step 5: Solve for x
    x = 579,428.91/845.62
  6. Step 6: Final answer
    x = 685.21

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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.