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Finding the Fourth Proportional to 790.90, 1,086.82 and 659.68

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Solution

The fourth proportional to 790.90, 1,086.82 and 659.68 is: 906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.90 : 1,086.82 = 659.68 : x
  2. Step 2: Convert to fraction form
    790.90/1,086.82 = 659.68/x
  3. Step 3: Cross multiply
    790.90x = 1,086.82 × 659.68
  4. Step 4: Simplify right side
    790.90x = 716,949.05
  5. Step 5: Solve for x
    x = 716,949.05/790.90
  6. Step 6: Final answer
    x = 906.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.