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Finding the Fourth Proportional to 735.03, 1,099.80 and 427.02

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Solution

The fourth proportional to 735.03, 1,099.80 and 427.02 is: 638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.03 : 1,099.80 = 427.02 : x
  2. Step 2: Convert to fraction form
    735.03/1,099.80 = 427.02/x
  3. Step 3: Cross multiply
    735.03x = 1,099.80 × 427.02
  4. Step 4: Simplify right side
    735.03x = 469,636.60
  5. Step 5: Solve for x
    x = 469,636.60/735.03
  6. Step 6: Final answer
    x = 638.94

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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.