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Finding the Fourth Proportional to 818.02, 1,129.67 and 699.30

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Solution

The fourth proportional to 818.02, 1,129.67 and 699.30 is: 965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.02 : 1,129.67 = 699.30 : x
  2. Step 2: Convert to fraction form
    818.02/1,129.67 = 699.30/x
  3. Step 3: Cross multiply
    818.02x = 1,129.67 × 699.30
  4. Step 4: Simplify right side
    818.02x = 789,978.23
  5. Step 5: Solve for x
    x = 789,978.23/818.02
  6. Step 6: Final answer
    x = 965.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.