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Finding the Fourth Proportional to 1,384.97, 2,074.59 and 689.54

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Solution

The fourth proportional to 1,384.97, 2,074.59 and 689.54 is: 1,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.97 : 2,074.59 = 689.54 : x
  2. Step 2: Convert to fraction form
    1,384.97/2,074.59 = 689.54/x
  3. Step 3: Cross multiply
    1,384.97x = 2,074.59 × 689.54
  4. Step 4: Simplify right side
    1,384.97x = 1,430,512.79
  5. Step 5: Solve for x
    x = 1,430,512.79/1,384.97
  6. Step 6: Final answer
    x = 1,032.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.