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Finding the Fourth Proportional to 735.55, 1,102.87 and 388.67

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Solution

The fourth proportional to 735.55, 1,102.87 and 388.67 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.55 : 1,102.87 = 388.67 : x
  2. Step 2: Convert to fraction form
    735.55/1,102.87 = 388.67/x
  3. Step 3: Cross multiply
    735.55x = 1,102.87 × 388.67
  4. Step 4: Simplify right side
    735.55x = 428,652.48
  5. Step 5: Solve for x
    x = 428,652.48/735.55
  6. Step 6: Final answer
    x = 582.76

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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.