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Finding the Fourth Proportional to 844.04, 1,164.36 and 647.22

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Solution

The fourth proportional to 844.04, 1,164.36 and 647.22 is: 892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.04 : 1,164.36 = 647.22 : x
  2. Step 2: Convert to fraction form
    844.04/1,164.36 = 647.22/x
  3. Step 3: Cross multiply
    844.04x = 1,164.36 × 647.22
  4. Step 4: Simplify right side
    844.04x = 753,597.08
  5. Step 5: Solve for x
    x = 753,597.08/844.04
  6. Step 6: Final answer
    x = 892.85

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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.