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Finding the Fourth Proportional to 825.17, 1,138.46 and 470.84

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Solution

The fourth proportional to 825.17, 1,138.46 and 470.84 is: 649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.17 : 1,138.46 = 470.84 : x
  2. Step 2: Convert to fraction form
    825.17/1,138.46 = 470.84/x
  3. Step 3: Cross multiply
    825.17x = 1,138.46 × 470.84
  4. Step 4: Simplify right side
    825.17x = 536,028.73
  5. Step 5: Solve for x
    x = 536,028.73/825.17
  6. Step 6: Final answer
    x = 649.60

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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.