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Finding the Fourth Proportional to 693.25, 1,039.52 and 230.86

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Solution

The fourth proportional to 693.25, 1,039.52 and 230.86 is: 346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.25 : 1,039.52 = 230.86 : x
  2. Step 2: Convert to fraction form
    693.25/1,039.52 = 230.86/x
  3. Step 3: Cross multiply
    693.25x = 1,039.52 × 230.86
  4. Step 4: Simplify right side
    693.25x = 239,983.59
  5. Step 5: Solve for x
    x = 239,983.59/693.25
  6. Step 6: Final answer
    x = 346.17

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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.