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Finding the Fourth Proportional to 1,176.09, 1,621.64 and 803.28

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Solution

The fourth proportional to 1,176.09, 1,621.64 and 803.28 is: 1,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.09 : 1,621.64 = 803.28 : x
  2. Step 2: Convert to fraction form
    1,176.09/1,621.64 = 803.28/x
  3. Step 3: Cross multiply
    1,176.09x = 1,621.64 × 803.28
  4. Step 4: Simplify right side
    1,176.09x = 1,302,626.96
  5. Step 5: Solve for x
    x = 1,302,626.96/1,176.09
  6. Step 6: Final answer
    x = 1,107.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.