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Finding the Fourth Proportional to 1,258.39, 1,886.64 and 528.18

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Solution

The fourth proportional to 1,258.39, 1,886.64 and 528.18 is: 791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.39 : 1,886.64 = 528.18 : x
  2. Step 2: Convert to fraction form
    1,258.39/1,886.64 = 528.18/x
  3. Step 3: Cross multiply
    1,258.39x = 1,886.64 × 528.18
  4. Step 4: Simplify right side
    1,258.39x = 996,485.52
  5. Step 5: Solve for x
    x = 996,485.52/1,258.39
  6. Step 6: Final answer
    x = 791.87

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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.