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Finding the Fourth Proportional to 1,172.99, 1,759.77 and 351.20

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Solution

The fourth proportional to 1,172.99, 1,759.77 and 351.20 is: 526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.99 : 1,759.77 = 351.20 : x
  2. Step 2: Convert to fraction form
    1,172.99/1,759.77 = 351.20/x
  3. Step 3: Cross multiply
    1,172.99x = 1,759.77 × 351.20
  4. Step 4: Simplify right side
    1,172.99x = 618,022.43
  5. Step 5: Solve for x
    x = 618,022.43/1,172.99
  6. Step 6: Final answer
    x = 526.88

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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.