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Finding the Fourth Proportional to 789.67, 1,090.01 and 541.36

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Solution

The fourth proportional to 789.67, 1,090.01 and 541.36 is: 747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.67 : 1,090.01 = 541.36 : x
  2. Step 2: Convert to fraction form
    789.67/1,090.01 = 541.36/x
  3. Step 3: Cross multiply
    789.67x = 1,090.01 × 541.36
  4. Step 4: Simplify right side
    789.67x = 590,084.42
  5. Step 5: Solve for x
    x = 590,084.42/789.67
  6. Step 6: Final answer
    x = 747.25

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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.