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Finding the Fourth Proportional to 844.08, 1,164.24 and 529.08

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Solution

The fourth proportional to 844.08, 1,164.24 and 529.08 is: 729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.08 : 1,164.24 = 529.08 : x
  2. Step 2: Convert to fraction form
    844.08/1,164.24 = 529.08/x
  3. Step 3: Cross multiply
    844.08x = 1,164.24 × 529.08
  4. Step 4: Simplify right side
    844.08x = 615,976.10
  5. Step 5: Solve for x
    x = 615,976.10/844.08
  6. Step 6: Final answer
    x = 729.76

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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.