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Finding the Fourth Proportional to 912.05, 1,258.65 and 519.09

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Solution

The fourth proportional to 912.05, 1,258.65 and 519.09 is: 716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.05 : 1,258.65 = 519.09 : x
  2. Step 2: Convert to fraction form
    912.05/1,258.65 = 519.09/x
  3. Step 3: Cross multiply
    912.05x = 1,258.65 × 519.09
  4. Step 4: Simplify right side
    912.05x = 653,352.63
  5. Step 5: Solve for x
    x = 653,352.63/912.05
  6. Step 6: Final answer
    x = 716.35

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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.