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Finding the Fourth Proportional to 838.56, 1,258.52 and 805.76

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Solution

The fourth proportional to 838.56, 1,258.52 and 805.76 is: 1,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.56 : 1,258.52 = 805.76 : x
  2. Step 2: Convert to fraction form
    838.56/1,258.52 = 805.76/x
  3. Step 3: Cross multiply
    838.56x = 1,258.52 × 805.76
  4. Step 4: Simplify right side
    838.56x = 1,014,054.75
  5. Step 5: Solve for x
    x = 1,014,054.75/838.56
  6. Step 6: Final answer
    x = 1,209.28

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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.