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Finding the Fourth Proportional to 838.31, 1,258.45 and 394.00

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Solution

The fourth proportional to 838.31, 1,258.45 and 394.00 is: 591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.31 : 1,258.45 = 394.00 : x
  2. Step 2: Convert to fraction form
    838.31/1,258.45 = 394.00/x
  3. Step 3: Cross multiply
    838.31x = 1,258.45 × 394.00
  4. Step 4: Simplify right side
    838.31x = 495,825.17
  5. Step 5: Solve for x
    x = 495,825.17/838.31
  6. Step 6: Final answer
    x = 591.46

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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.