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Finding the Fourth Proportional to 845.43, 1,166.81 and 472.43

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Solution

The fourth proportional to 845.43, 1,166.81 and 472.43 is: 652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.43 : 1,166.81 = 472.43 : x
  2. Step 2: Convert to fraction form
    845.43/1,166.81 = 472.43/x
  3. Step 3: Cross multiply
    845.43x = 1,166.81 × 472.43
  4. Step 4: Simplify right side
    845.43x = 551,227.85
  5. Step 5: Solve for x
    x = 551,227.85/845.43
  6. Step 6: Final answer
    x = 652.01

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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.