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Finding the Fourth Proportional to 1,164.48, 1,607.22 and 812.04

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Solution

The fourth proportional to 1,164.48, 1,607.22 and 812.04 is: 1,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.48 : 1,607.22 = 812.04 : x
  2. Step 2: Convert to fraction form
    1,164.48/1,607.22 = 812.04/x
  3. Step 3: Cross multiply
    1,164.48x = 1,607.22 × 812.04
  4. Step 4: Simplify right side
    1,164.48x = 1,305,126.93
  5. Step 5: Solve for x
    x = 1,305,126.93/1,164.48
  6. Step 6: Final answer
    x = 1,120.78

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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.