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Finding the Fourth Proportional to 693.47, 1,039.71 and 254.48

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Solution

The fourth proportional to 693.47, 1,039.71 and 254.48 is: 381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.47 : 1,039.71 = 254.48 : x
  2. Step 2: Convert to fraction form
    693.47/1,039.71 = 254.48/x
  3. Step 3: Cross multiply
    693.47x = 1,039.71 × 254.48
  4. Step 4: Simplify right side
    693.47x = 264,583.15
  5. Step 5: Solve for x
    x = 264,583.15/693.47
  6. Step 6: Final answer
    x = 381.54

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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.