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Finding the Fourth Proportional to 693.53, 1,039.61 and 260.38

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Solution

The fourth proportional to 693.53, 1,039.61 and 260.38 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.53 : 1,039.61 = 260.38 : x
  2. Step 2: Convert to fraction form
    693.53/1,039.61 = 260.38/x
  3. Step 3: Cross multiply
    693.53x = 1,039.61 × 260.38
  4. Step 4: Simplify right side
    693.53x = 270,691.70
  5. Step 5: Solve for x
    x = 270,691.70/693.53
  6. Step 6: Final answer
    x = 390.31

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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.