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Finding the Fourth Proportional to 1,172.95, 1,758.17 and 514.25

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Solution

The fourth proportional to 1,172.95, 1,758.17 and 514.25 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.95 : 1,758.17 = 514.25 : x
  2. Step 2: Convert to fraction form
    1,172.95/1,758.17 = 514.25/x
  3. Step 3: Cross multiply
    1,172.95x = 1,758.17 × 514.25
  4. Step 4: Simplify right side
    1,172.95x = 904,138.01
  5. Step 5: Solve for x
    x = 904,138.01/1,172.95
  6. Step 6: Final answer
    x = 770.83

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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.