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Finding the Fourth Proportional to 728.67, 1,093.79 and 420.82

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Solution

The fourth proportional to 728.67, 1,093.79 and 420.82 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.67 : 1,093.79 = 420.82 : x
  2. Step 2: Convert to fraction form
    728.67/1,093.79 = 420.82/x
  3. Step 3: Cross multiply
    728.67x = 1,093.79 × 420.82
  4. Step 4: Simplify right side
    728.67x = 460,291.13
  5. Step 5: Solve for x
    x = 460,291.13/728.67
  6. Step 6: Final answer
    x = 631.68

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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.