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Finding the Fourth Proportional to 694.13, 1,040.15 and 548.24

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Solution

The fourth proportional to 694.13, 1,040.15 and 548.24 is: 821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.13 : 1,040.15 = 548.24 : x
  2. Step 2: Convert to fraction form
    694.13/1,040.15 = 548.24/x
  3. Step 3: Cross multiply
    694.13x = 1,040.15 × 548.24
  4. Step 4: Simplify right side
    694.13x = 570,243.89
  5. Step 5: Solve for x
    x = 570,243.89/694.13
  6. Step 6: Final answer
    x = 821.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.