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Finding the Fourth Proportional to 735.21, 1,100.49 and 487.92

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Solution

The fourth proportional to 735.21, 1,100.49 and 487.92 is: 730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.21 : 1,100.49 = 487.92 : x
  2. Step 2: Convert to fraction form
    735.21/1,100.49 = 487.92/x
  3. Step 3: Cross multiply
    735.21x = 1,100.49 × 487.92
  4. Step 4: Simplify right side
    735.21x = 536,953.38
  5. Step 5: Solve for x
    x = 536,953.38/735.21
  6. Step 6: Final answer
    x = 730.34

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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.