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Finding the Fourth Proportional to 825.47, 1,237.90 and 270.05

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Solution

The fourth proportional to 825.47, 1,237.90 and 270.05 is: 404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.47 : 1,237.90 = 270.05 : x
  2. Step 2: Convert to fraction form
    825.47/1,237.90 = 270.05/x
  3. Step 3: Cross multiply
    825.47x = 1,237.90 × 270.05
  4. Step 4: Simplify right side
    825.47x = 334,297.31
  5. Step 5: Solve for x
    x = 334,297.31/825.47
  6. Step 6: Final answer
    x = 404.98

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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.