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Finding the Fourth Proportional to 993.36, 1,490.14 and 343.94

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Solution

The fourth proportional to 993.36, 1,490.14 and 343.94 is: 515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.36 : 1,490.14 = 343.94 : x
  2. Step 2: Convert to fraction form
    993.36/1,490.14 = 343.94/x
  3. Step 3: Cross multiply
    993.36x = 1,490.14 × 343.94
  4. Step 4: Simplify right side
    993.36x = 512,518.75
  5. Step 5: Solve for x
    x = 512,518.75/993.36
  6. Step 6: Final answer
    x = 515.94

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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.