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Finding the Fourth Proportional to 735.90, 1,101.78 and 491.96

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Solution

The fourth proportional to 735.90, 1,101.78 and 491.96 is: 736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.90 : 1,101.78 = 491.96 : x
  2. Step 2: Convert to fraction form
    735.90/1,101.78 = 491.96/x
  3. Step 3: Cross multiply
    735.90x = 1,101.78 × 491.96
  4. Step 4: Simplify right side
    735.90x = 542,031.69
  5. Step 5: Solve for x
    x = 542,031.69/735.90
  6. Step 6: Final answer
    x = 736.56

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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.