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Finding the Fourth Proportional to 693.97, 1,040.80 and 207.06

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Solution

The fourth proportional to 693.97, 1,040.80 and 207.06 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.97 : 1,040.80 = 207.06 : x
  2. Step 2: Convert to fraction form
    693.97/1,040.80 = 207.06/x
  3. Step 3: Cross multiply
    693.97x = 1,040.80 × 207.06
  4. Step 4: Simplify right side
    693.97x = 215,504.02
  5. Step 5: Solve for x
    x = 215,504.02/693.97
  6. Step 6: Final answer
    x = 310.54

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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.