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Finding the Fourth Proportional to 729.64, 1,094.80 and 396.20

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Solution

The fourth proportional to 729.64, 1,094.80 and 396.20 is: 594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.64 : 1,094.80 = 396.20 : x
  2. Step 2: Convert to fraction form
    729.64/1,094.80 = 396.20/x
  3. Step 3: Cross multiply
    729.64x = 1,094.80 × 396.20
  4. Step 4: Simplify right side
    729.64x = 433,759.17
  5. Step 5: Solve for x
    x = 433,759.17/729.64
  6. Step 6: Final answer
    x = 594.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.