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Finding the Fourth Proportional to 1,120.46, 1,680.69 and 298.81

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Solution

The fourth proportional to 1,120.46, 1,680.69 and 298.81 is: 448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.46 : 1,680.69 = 298.81 : x
  2. Step 2: Convert to fraction form
    1,120.46/1,680.69 = 298.81/x
  3. Step 3: Cross multiply
    1,120.46x = 1,680.69 × 298.81
  4. Step 4: Simplify right side
    1,120.46x = 502,212.83
  5. Step 5: Solve for x
    x = 502,212.83/1,120.46
  6. Step 6: Final answer
    x = 448.22

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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.