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Finding the Fourth Proportional to 1,014.20, 1,405.48 and 994.76

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Solution

The fourth proportional to 1,014.20, 1,405.48 and 994.76 is: 1,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.20 : 1,405.48 = 994.76 : x
  2. Step 2: Convert to fraction form
    1,014.20/1,405.48 = 994.76/x
  3. Step 3: Cross multiply
    1,014.20x = 1,405.48 × 994.76
  4. Step 4: Simplify right side
    1,014.20x = 1,398,115.28
  5. Step 5: Solve for x
    x = 1,398,115.28/1,014.20
  6. Step 6: Final answer
    x = 1,378.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.