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Finding the Fourth Proportional to 729.08, 1,094.04 and 318.27

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Solution

The fourth proportional to 729.08, 1,094.04 and 318.27 is: 477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.08 : 1,094.04 = 318.27 : x
  2. Step 2: Convert to fraction form
    729.08/1,094.04 = 318.27/x
  3. Step 3: Cross multiply
    729.08x = 1,094.04 × 318.27
  4. Step 4: Simplify right side
    729.08x = 348,200.11
  5. Step 5: Solve for x
    x = 348,200.11/729.08
  6. Step 6: Final answer
    x = 477.59

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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.