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Finding the Fourth Proportional to 735.10, 1,099.94 and 442.78

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Solution

The fourth proportional to 735.10, 1,099.94 and 442.78 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,099.94 = 442.78 : x
  2. Step 2: Convert to fraction form
    735.10/1,099.94 = 442.78/x
  3. Step 3: Cross multiply
    735.10x = 1,099.94 × 442.78
  4. Step 4: Simplify right side
    735.10x = 487,031.43
  5. Step 5: Solve for x
    x = 487,031.43/735.10
  6. Step 6: Final answer
    x = 662.54

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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.