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Finding the Fourth Proportional to 911.95, 1,258.05 and 787.57

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Solution

The fourth proportional to 911.95, 1,258.05 and 787.57 is: 1,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.95 : 1,258.05 = 787.57 : x
  2. Step 2: Convert to fraction form
    911.95/1,258.05 = 787.57/x
  3. Step 3: Cross multiply
    911.95x = 1,258.05 × 787.57
  4. Step 4: Simplify right side
    911.95x = 990,802.44
  5. Step 5: Solve for x
    x = 990,802.44/911.95
  6. Step 6: Final answer
    x = 1,086.47

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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.