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Finding the Fourth Proportional to 1,229.64, 1,697.26 and 810.30

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Solution

The fourth proportional to 1,229.64, 1,697.26 and 810.30 is: 1,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.64 : 1,697.26 = 810.30 : x
  2. Step 2: Convert to fraction form
    1,229.64/1,697.26 = 810.30/x
  3. Step 3: Cross multiply
    1,229.64x = 1,697.26 × 810.30
  4. Step 4: Simplify right side
    1,229.64x = 1,375,289.78
  5. Step 5: Solve for x
    x = 1,375,289.78/1,229.64
  6. Step 6: Final answer
    x = 1,118.45

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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.