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Finding the Fourth Proportional to 843.92, 1,164.89 and 657.13

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Solution

The fourth proportional to 843.92, 1,164.89 and 657.13 is: 907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.92 : 1,164.89 = 657.13 : x
  2. Step 2: Convert to fraction form
    843.92/1,164.89 = 657.13/x
  3. Step 3: Cross multiply
    843.92x = 1,164.89 × 657.13
  4. Step 4: Simplify right side
    843.92x = 765,482.90
  5. Step 5: Solve for x
    x = 765,482.90/843.92
  6. Step 6: Final answer
    x = 907.05

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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.