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Finding the Fourth Proportional to 735.64, 1,101.42 and 667.24

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Solution

The fourth proportional to 735.64, 1,101.42 and 667.24 is: 999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.64 : 1,101.42 = 667.24 : x
  2. Step 2: Convert to fraction form
    735.64/1,101.42 = 667.24/x
  3. Step 3: Cross multiply
    735.64x = 1,101.42 × 667.24
  4. Step 4: Simplify right side
    735.64x = 734,911.48
  5. Step 5: Solve for x
    x = 734,911.48/735.64
  6. Step 6: Final answer
    x = 999.01

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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.