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Finding the Fourth Proportional to 843.68, 1,162.76 and 710.66

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Solution

The fourth proportional to 843.68, 1,162.76 and 710.66 is: 979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.68 : 1,162.76 = 710.66 : x
  2. Step 2: Convert to fraction form
    843.68/1,162.76 = 710.66/x
  3. Step 3: Cross multiply
    843.68x = 1,162.76 × 710.66
  4. Step 4: Simplify right side
    843.68x = 826,327.02
  5. Step 5: Solve for x
    x = 826,327.02/843.68
  6. Step 6: Final answer
    x = 979.43

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1.5x scale

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.