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Finding the Fourth Proportional to 912.21, 1,258.83 and 519.27

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Solution

The fourth proportional to 912.21, 1,258.83 and 519.27 is: 716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.21 : 1,258.83 = 519.27 : x
  2. Step 2: Convert to fraction form
    912.21/1,258.83 = 519.27/x
  3. Step 3: Cross multiply
    912.21x = 1,258.83 × 519.27
  4. Step 4: Simplify right side
    912.21x = 653,672.65
  5. Step 5: Solve for x
    x = 653,672.65/912.21
  6. Step 6: Final answer
    x = 716.58

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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.