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Finding the Fourth Proportional to 825.09, 1,138.38 and 471

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Solution

The fourth proportional to 825.09, 1,138.38 and 471 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.09 : 1,138.38 = 471 : x
  2. Step 2: Convert to fraction form
    825.09/1,138.38 = 471/x
  3. Step 3: Cross multiply
    825.09x = 1,138.38 × 471
  4. Step 4: Simplify right side
    825.09x = 536,176.98
  5. Step 5: Solve for x
    x = 536,176.98/825.09
  6. Step 6: Final answer
    x = 649.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.