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Finding the Fourth Proportional to 1,993.84, 2,990.70 and 533

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Solution

The fourth proportional to 1,993.84, 2,990.70 and 533 is: 799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.84 : 2,990.70 = 533 : x
  2. Step 2: Convert to fraction form
    1,993.84/2,990.70 = 533/x
  3. Step 3: Cross multiply
    1,993.84x = 2,990.70 × 533
  4. Step 4: Simplify right side
    1,993.84x = 1,594,043.10
  5. Step 5: Solve for x
    x = 1,594,043.10/1,993.84
  6. Step 6: Final answer
    x = 799.48

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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.