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Finding the Fourth Proportional to 3,303.80, 4,955.58 and 838.70

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Solution

The fourth proportional to 3,303.80, 4,955.58 and 838.70 is: 1,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.80 : 4,955.58 = 838.70 : x
  2. Step 2: Convert to fraction form
    3,303.80/4,955.58 = 838.70/x
  3. Step 3: Cross multiply
    3,303.80x = 4,955.58 × 838.70
  4. Step 4: Simplify right side
    3,303.80x = 4,156,244.95
  5. Step 5: Solve for x
    x = 4,156,244.95/3,303.80
  6. Step 6: Final answer
    x = 1,258.02

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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.