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Finding the Fourth Proportional to 1,120.64, 1,546.53 and 678.65

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Solution

The fourth proportional to 1,120.64, 1,546.53 and 678.65 is: 936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.64 : 1,546.53 = 678.65 : x
  2. Step 2: Convert to fraction form
    1,120.64/1,546.53 = 678.65/x
  3. Step 3: Cross multiply
    1,120.64x = 1,546.53 × 678.65
  4. Step 4: Simplify right side
    1,120.64x = 1,049,552.58
  5. Step 5: Solve for x
    x = 1,049,552.58/1,120.64
  6. Step 6: Final answer
    x = 936.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.