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Finding the Fourth Proportional to 838.54, 1,258.62 and 632.40

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Solution

The fourth proportional to 838.54, 1,258.62 and 632.40 is: 949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.54 : 1,258.62 = 632.40 : x
  2. Step 2: Convert to fraction form
    838.54/1,258.62 = 632.40/x
  3. Step 3: Cross multiply
    838.54x = 1,258.62 × 632.40
  4. Step 4: Simplify right side
    838.54x = 795,951.29
  5. Step 5: Solve for x
    x = 795,951.29/838.54
  6. Step 6: Final answer
    x = 949.21

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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.