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Finding the Fourth Proportional to 735.83, 1,102.78 and 561.85

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Solution

The fourth proportional to 735.83, 1,102.78 and 561.85 is: 842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.83 : 1,102.78 = 561.85 : x
  2. Step 2: Convert to fraction form
    735.83/1,102.78 = 561.85/x
  3. Step 3: Cross multiply
    735.83x = 1,102.78 × 561.85
  4. Step 4: Simplify right side
    735.83x = 619,592.78
  5. Step 5: Solve for x
    x = 619,592.78/735.83
  6. Step 6: Final answer
    x = 842.04

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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.