Home / 1,052.20-1,577.90-349.28

Finding the Fourth Proportional to 1,052.20, 1,577.90 and 349.28

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Solution

The fourth proportional to 1,052.20, 1,577.90 and 349.28 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.20 : 1,577.90 = 349.28 : x
  2. Step 2: Convert to fraction form
    1,052.20/1,577.90 = 349.28/x
  3. Step 3: Cross multiply
    1,052.20x = 1,577.90 × 349.28
  4. Step 4: Simplify right side
    1,052.20x = 551,121.02
  5. Step 5: Solve for x
    x = 551,121.02/1,052.20
  6. Step 6: Final answer
    x = 523.78

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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.