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Finding the Fourth Proportional to 735.23, 1,102.49 and 427.16

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Solution

The fourth proportional to 735.23, 1,102.49 and 427.16 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.23 : 1,102.49 = 427.16 : x
  2. Step 2: Convert to fraction form
    735.23/1,102.49 = 427.16/x
  3. Step 3: Cross multiply
    735.23x = 1,102.49 × 427.16
  4. Step 4: Simplify right side
    735.23x = 470,944.83
  5. Step 5: Solve for x
    x = 470,944.83/735.23
  6. Step 6: Final answer
    x = 640.55

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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.