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Finding the Fourth Proportional to 843.09, 1,162.78 and 528.06

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Solution

The fourth proportional to 843.09, 1,162.78 and 528.06 is: 728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.09 : 1,162.78 = 528.06 : x
  2. Step 2: Convert to fraction form
    843.09/1,162.78 = 528.06/x
  3. Step 3: Cross multiply
    843.09x = 1,162.78 × 528.06
  4. Step 4: Simplify right side
    843.09x = 614,017.61
  5. Step 5: Solve for x
    x = 614,017.61/843.09
  6. Step 6: Final answer
    x = 728.29

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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.