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Finding the Fourth Proportional to 1,052.46, 1,577.07 and 820.80

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Solution

The fourth proportional to 1,052.46, 1,577.07 and 820.80 is: 1,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.46 : 1,577.07 = 820.80 : x
  2. Step 2: Convert to fraction form
    1,052.46/1,577.07 = 820.80/x
  3. Step 3: Cross multiply
    1,052.46x = 1,577.07 × 820.80
  4. Step 4: Simplify right side
    1,052.46x = 1,294,459.06
  5. Step 5: Solve for x
    x = 1,294,459.06/1,052.46
  6. Step 6: Final answer
    x = 1,229.94

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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.