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Finding the Fourth Proportional to 729.73, 1,094.46 and 318.72

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Solution

The fourth proportional to 729.73, 1,094.46 and 318.72 is: 478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.73 : 1,094.46 = 318.72 : x
  2. Step 2: Convert to fraction form
    729.73/1,094.46 = 318.72/x
  3. Step 3: Cross multiply
    729.73x = 1,094.46 × 318.72
  4. Step 4: Simplify right side
    729.73x = 348,826.29
  5. Step 5: Solve for x
    x = 348,826.29/729.73
  6. Step 6: Final answer
    x = 478.02

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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.