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Finding the Fourth Proportional to 844.17, 1,164.85 and 471.10

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Solution

The fourth proportional to 844.17, 1,164.85 and 471.10 is: 650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.17 : 1,164.85 = 471.10 : x
  2. Step 2: Convert to fraction form
    844.17/1,164.85 = 471.10/x
  3. Step 3: Cross multiply
    844.17x = 1,164.85 × 471.10
  4. Step 4: Simplify right side
    844.17x = 548,756.75
  5. Step 5: Solve for x
    x = 548,756.75/844.17
  6. Step 6: Final answer
    x = 650.05

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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.