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Finding the Fourth Proportional to 1,131.01, 1,696.68 and 514.70

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Solution

The fourth proportional to 1,131.01, 1,696.68 and 514.70 is: 772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.01 : 1,696.68 = 514.70 : x
  2. Step 2: Convert to fraction form
    1,131.01/1,696.68 = 514.70/x
  3. Step 3: Cross multiply
    1,131.01x = 1,696.68 × 514.70
  4. Step 4: Simplify right side
    1,131.01x = 873,279.08
  5. Step 5: Solve for x
    x = 873,279.08/1,131.01
  6. Step 6: Final answer
    x = 772.12

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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.