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Finding the Fourth Proportional to 1,388.67, 2,082.78 and 464.24

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Solution

The fourth proportional to 1,388.67, 2,082.78 and 464.24 is: 696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.67 : 2,082.78 = 464.24 : x
  2. Step 2: Convert to fraction form
    1,388.67/2,082.78 = 464.24/x
  3. Step 3: Cross multiply
    1,388.67x = 2,082.78 × 464.24
  4. Step 4: Simplify right side
    1,388.67x = 966,899.37
  5. Step 5: Solve for x
    x = 966,899.37/1,388.67
  6. Step 6: Final answer
    x = 696.28

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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.