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Finding the Fourth Proportional to 735.36, 1,101.12 and 693.12

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Solution

The fourth proportional to 735.36, 1,101.12 and 693.12 is: 1,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.36 : 1,101.12 = 693.12 : x
  2. Step 2: Convert to fraction form
    735.36/1,101.12 = 693.12/x
  3. Step 3: Cross multiply
    735.36x = 1,101.12 × 693.12
  4. Step 4: Simplify right side
    735.36x = 763,208.29
  5. Step 5: Solve for x
    x = 763,208.29/735.36
  6. Step 6: Final answer
    x = 1,037.87

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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.