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Finding the Fourth Proportional to 728.83, 1,090.67 and 455.05

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Solution

The fourth proportional to 728.83, 1,090.67 and 455.05 is: 680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.83 : 1,090.67 = 455.05 : x
  2. Step 2: Convert to fraction form
    728.83/1,090.67 = 455.05/x
  3. Step 3: Cross multiply
    728.83x = 1,090.67 × 455.05
  4. Step 4: Simplify right side
    728.83x = 496,308.47
  5. Step 5: Solve for x
    x = 496,308.47/728.83
  6. Step 6: Final answer
    x = 680.96

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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.