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Finding the Fourth Proportional to 1,171.07, 1,753.56 and 683.85

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Solution

The fourth proportional to 1,171.07, 1,753.56 and 683.85 is: 1,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.07 : 1,753.56 = 683.85 : x
  2. Step 2: Convert to fraction form
    1,171.07/1,753.56 = 683.85/x
  3. Step 3: Cross multiply
    1,171.07x = 1,753.56 × 683.85
  4. Step 4: Simplify right side
    1,171.07x = 1,199,172.01
  5. Step 5: Solve for x
    x = 1,199,172.01/1,171.07
  6. Step 6: Final answer
    x = 1,024.00

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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.