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Finding the Fourth Proportional to 823.48, 1,127.75 and 812.68

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Solution

The fourth proportional to 823.48, 1,127.75 and 812.68 is: 1,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.48 : 1,127.75 = 812.68 : x
  2. Step 2: Convert to fraction form
    823.48/1,127.75 = 812.68/x
  3. Step 3: Cross multiply
    823.48x = 1,127.75 × 812.68
  4. Step 4: Simplify right side
    823.48x = 916,499.87
  5. Step 5: Solve for x
    x = 916,499.87/823.48
  6. Step 6: Final answer
    x = 1,112.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.