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Finding the Fourth Proportional to 1,034.66, 1,544.42 and 911.64

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Solution

The fourth proportional to 1,034.66, 1,544.42 and 911.64 is: 1,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.66 : 1,544.42 = 911.64 : x
  2. Step 2: Convert to fraction form
    1,034.66/1,544.42 = 911.64/x
  3. Step 3: Cross multiply
    1,034.66x = 1,544.42 × 911.64
  4. Step 4: Simplify right side
    1,034.66x = 1,407,955.05
  5. Step 5: Solve for x
    x = 1,407,955.05/1,034.66
  6. Step 6: Final answer
    x = 1,360.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.