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Finding the Fourth Proportional to 693.11, 1,040.07 and 385.22

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Solution

The fourth proportional to 693.11, 1,040.07 and 385.22 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.11 : 1,040.07 = 385.22 : x
  2. Step 2: Convert to fraction form
    693.11/1,040.07 = 385.22/x
  3. Step 3: Cross multiply
    693.11x = 1,040.07 × 385.22
  4. Step 4: Simplify right side
    693.11x = 400,655.77
  5. Step 5: Solve for x
    x = 400,655.77/693.11
  6. Step 6: Final answer
    x = 578.06

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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.