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Finding the Fourth Proportional to 728.00, 1,092.21 and 420.07

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Solution

The fourth proportional to 728.00, 1,092.21 and 420.07 is: 630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.00 : 1,092.21 = 420.07 : x
  2. Step 2: Convert to fraction form
    728.00/1,092.21 = 420.07/x
  3. Step 3: Cross multiply
    728.00x = 1,092.21 × 420.07
  4. Step 4: Simplify right side
    728.00x = 458,808.44
  5. Step 5: Solve for x
    x = 458,808.44/728.00
  6. Step 6: Final answer
    x = 630.23

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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.