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Finding the Fourth Proportional to 1,180.53, 1,771.34 and 693.99

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Solution

The fourth proportional to 1,180.53, 1,771.34 and 693.99 is: 1,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.53 : 1,771.34 = 693.99 : x
  2. Step 2: Convert to fraction form
    1,180.53/1,771.34 = 693.99/x
  3. Step 3: Cross multiply
    1,180.53x = 1,771.34 × 693.99
  4. Step 4: Simplify right side
    1,180.53x = 1,229,288.78
  5. Step 5: Solve for x
    x = 1,229,288.78/1,180.53
  6. Step 6: Final answer
    x = 1,041.30

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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.