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Finding the Fourth Proportional to 1,013.12, 1,388.98 and 994.67

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Solution

The fourth proportional to 1,013.12, 1,388.98 and 994.67 is: 1,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.12 : 1,388.98 = 994.67 : x
  2. Step 2: Convert to fraction form
    1,013.12/1,388.98 = 994.67/x
  3. Step 3: Cross multiply
    1,013.12x = 1,388.98 × 994.67
  4. Step 4: Simplify right side
    1,013.12x = 1,381,576.74
  5. Step 5: Solve for x
    x = 1,381,576.74/1,013.12
  6. Step 6: Final answer
    x = 1,363.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.