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Finding the Fourth Proportional to 912, 1,258.56 and 838.72

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Solution

The fourth proportional to 912, 1,258.56 and 838.72 is: 1,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 1,258.56 = 838.72 : x
  2. Step 2: Convert to fraction form
    912/1,258.56 = 838.72/x
  3. Step 3: Cross multiply
    912x = 1,258.56 × 838.72
  4. Step 4: Simplify right side
    912x = 1,055,579.44
  5. Step 5: Solve for x
    x = 1,055,579.44/912
  6. Step 6: Final answer
    x = 1,157.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.