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Finding the Fourth Proportional to 805.02, 1,212.90 and 728.07

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Solution

The fourth proportional to 805.02, 1,212.90 and 728.07 is: 1,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.02 : 1,212.90 = 728.07 : x
  2. Step 2: Convert to fraction form
    805.02/1,212.90 = 728.07/x
  3. Step 3: Cross multiply
    805.02x = 1,212.90 × 728.07
  4. Step 4: Simplify right side
    805.02x = 883,076.10
  5. Step 5: Solve for x
    x = 883,076.10/805.02
  6. Step 6: Final answer
    x = 1,096.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.