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Finding the Fourth Proportional to 993.45, 1,490.12 and 300.14

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Solution

The fourth proportional to 993.45, 1,490.12 and 300.14 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.45 : 1,490.12 = 300.14 : x
  2. Step 2: Convert to fraction form
    993.45/1,490.12 = 300.14/x
  3. Step 3: Cross multiply
    993.45x = 1,490.12 × 300.14
  4. Step 4: Simplify right side
    993.45x = 447,244.62
  5. Step 5: Solve for x
    x = 447,244.62/993.45
  6. Step 6: Final answer
    x = 450.19

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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.