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Finding the Fourth Proportional to 729.38, 1,094.19 and 364.18

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Solution

The fourth proportional to 729.38, 1,094.19 and 364.18 is: 546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.38 : 1,094.19 = 364.18 : x
  2. Step 2: Convert to fraction form
    729.38/1,094.19 = 364.18/x
  3. Step 3: Cross multiply
    729.38x = 1,094.19 × 364.18
  4. Step 4: Simplify right side
    729.38x = 398,482.11
  5. Step 5: Solve for x
    x = 398,482.11/729.38
  6. Step 6: Final answer
    x = 546.33

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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.