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Finding the Fourth Proportional to 1,120.23, 1,680.48 and 389.97

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Solution

The fourth proportional to 1,120.23, 1,680.48 and 389.97 is: 585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.23 : 1,680.48 = 389.97 : x
  2. Step 2: Convert to fraction form
    1,120.23/1,680.48 = 389.97/x
  3. Step 3: Cross multiply
    1,120.23x = 1,680.48 × 389.97
  4. Step 4: Simplify right side
    1,120.23x = 655,336.79
  5. Step 5: Solve for x
    x = 655,336.79/1,120.23
  6. Step 6: Final answer
    x = 585.00

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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.