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Finding the Fourth Proportional to 1,388.74, 2,082.90 and 414.93

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Solution

The fourth proportional to 1,388.74, 2,082.90 and 414.93 is: 622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.74 : 2,082.90 = 414.93 : x
  2. Step 2: Convert to fraction form
    1,388.74/2,082.90 = 414.93/x
  3. Step 3: Cross multiply
    1,388.74x = 2,082.90 × 414.93
  4. Step 4: Simplify right side
    1,388.74x = 864,247.28
  5. Step 5: Solve for x
    x = 864,247.28/1,388.74
  6. Step 6: Final answer
    x = 622.32

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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.