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Finding the Fourth Proportional to 846.48, 1,169.33 and 813.27

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Solution

The fourth proportional to 846.48, 1,169.33 and 813.27 is: 1,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.48 : 1,169.33 = 813.27 : x
  2. Step 2: Convert to fraction form
    846.48/1,169.33 = 813.27/x
  3. Step 3: Cross multiply
    846.48x = 1,169.33 × 813.27
  4. Step 4: Simplify right side
    846.48x = 950,976.94
  5. Step 5: Solve for x
    x = 950,976.94/846.48
  6. Step 6: Final answer
    x = 1,123.45

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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.