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Finding the Fourth Proportional to 1,172.88, 1,759.32 and 351.14

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Solution

The fourth proportional to 1,172.88, 1,759.32 and 351.14 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.88 : 1,759.32 = 351.14 : x
  2. Step 2: Convert to fraction form
    1,172.88/1,759.32 = 351.14/x
  3. Step 3: Cross multiply
    1,172.88x = 1,759.32 × 351.14
  4. Step 4: Simplify right side
    1,172.88x = 617,758.83
  5. Step 5: Solve for x
    x = 617,758.83/1,172.88
  6. Step 6: Final answer
    x = 526.70

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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.