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Finding the Fourth Proportional to 1,172.97, 1,758.29 and 514.53

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Solution

The fourth proportional to 1,172.97, 1,758.29 and 514.53 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.97 : 1,758.29 = 514.53 : x
  2. Step 2: Convert to fraction form
    1,172.97/1,758.29 = 514.53/x
  3. Step 3: Cross multiply
    1,172.97x = 1,758.29 × 514.53
  4. Step 4: Simplify right side
    1,172.97x = 904,690.38
  5. Step 5: Solve for x
    x = 904,690.38/1,172.97
  6. Step 6: Final answer
    x = 771.28

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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.