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Finding the Fourth Proportional to 789.69, 1,090.50 and 657.12

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Solution

The fourth proportional to 789.69, 1,090.50 and 657.12 is: 907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.69 : 1,090.50 = 657.12 : x
  2. Step 2: Convert to fraction form
    789.69/1,090.50 = 657.12/x
  3. Step 3: Cross multiply
    789.69x = 1,090.50 × 657.12
  4. Step 4: Simplify right side
    789.69x = 716,589.36
  5. Step 5: Solve for x
    x = 716,589.36/789.69
  6. Step 6: Final answer
    x = 907.43

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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.