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Finding the Fourth Proportional to 729.72, 1,094.39 and 498.57

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Solution

The fourth proportional to 729.72, 1,094.39 and 498.57 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.72 : 1,094.39 = 498.57 : x
  2. Step 2: Convert to fraction form
    729.72/1,094.39 = 498.57/x
  3. Step 3: Cross multiply
    729.72x = 1,094.39 × 498.57
  4. Step 4: Simplify right side
    729.72x = 545,627.53
  5. Step 5: Solve for x
    x = 545,627.53/729.72
  6. Step 6: Final answer
    x = 747.72

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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.