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Finding the Fourth Proportional to 693.69, 1,040.65 and 231.42

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Solution

The fourth proportional to 693.69, 1,040.65 and 231.42 is: 347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.69 : 1,040.65 = 231.42 : x
  2. Step 2: Convert to fraction form
    693.69/1,040.65 = 231.42/x
  3. Step 3: Cross multiply
    693.69x = 1,040.65 × 231.42
  4. Step 4: Simplify right side
    693.69x = 240,826.16
  5. Step 5: Solve for x
    x = 240,826.16/693.69
  6. Step 6: Final answer
    x = 347.17

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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.