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Finding the Fourth Proportional to 735.45, 1,102.66 and 666.25

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Solution

The fourth proportional to 735.45, 1,102.66 and 666.25 is: 998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,102.66 = 666.25 : x
  2. Step 2: Convert to fraction form
    735.45/1,102.66 = 666.25/x
  3. Step 3: Cross multiply
    735.45x = 1,102.66 × 666.25
  4. Step 4: Simplify right side
    735.45x = 734,649.01
  5. Step 5: Solve for x
    x = 734,649.01/735.45
  6. Step 6: Final answer
    x = 998.91

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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.