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Finding the Fourth Proportional to 1,993.57, 2,990.68 and 898.02

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Solution

The fourth proportional to 1,993.57, 2,990.68 and 898.02 is: 1,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.57 : 2,990.68 = 898.02 : x
  2. Step 2: Convert to fraction form
    1,993.57/2,990.68 = 898.02/x
  3. Step 3: Cross multiply
    1,993.57x = 2,990.68 × 898.02
  4. Step 4: Simplify right side
    1,993.57x = 2,685,688.21
  5. Step 5: Solve for x
    x = 2,685,688.21/1,993.57
  6. Step 6: Final answer
    x = 1,347.18

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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.