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Finding the Fourth Proportional to 843.01, 1,164.40 and 666.23

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Solution

The fourth proportional to 843.01, 1,164.40 and 666.23 is: 920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.01 : 1,164.40 = 666.23 : x
  2. Step 2: Convert to fraction form
    843.01/1,164.40 = 666.23/x
  3. Step 3: Cross multiply
    843.01x = 1,164.40 × 666.23
  4. Step 4: Simplify right side
    843.01x = 775,750.72
  5. Step 5: Solve for x
    x = 775,750.72/843.01
  6. Step 6: Final answer
    x = 920.22

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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.