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Finding the Fourth Proportional to 1,176.69, 1,764.29 and 811.06

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Solution

The fourth proportional to 1,176.69, 1,764.29 and 811.06 is: 1,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.69 : 1,764.29 = 811.06 : x
  2. Step 2: Convert to fraction form
    1,176.69/1,764.29 = 811.06/x
  3. Step 3: Cross multiply
    1,176.69x = 1,764.29 × 811.06
  4. Step 4: Simplify right side
    1,176.69x = 1,430,945.05
  5. Step 5: Solve for x
    x = 1,430,945.05/1,176.69
  6. Step 6: Final answer
    x = 1,216.08

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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.