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Finding the Fourth Proportional to 1,258.85, 1,886.79 and 528.23

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Solution

The fourth proportional to 1,258.85, 1,886.79 and 528.23 is: 791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.85 : 1,886.79 = 528.23 : x
  2. Step 2: Convert to fraction form
    1,258.85/1,886.79 = 528.23/x
  3. Step 3: Cross multiply
    1,258.85x = 1,886.79 × 528.23
  4. Step 4: Simplify right side
    1,258.85x = 996,659.08
  5. Step 5: Solve for x
    x = 996,659.08/1,258.85
  6. Step 6: Final answer
    x = 791.72

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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.