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Finding the Fourth Proportional to 1,230.97, 1,698 and 898.99

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Solution

The fourth proportional to 1,230.97, 1,698 and 898.99 is: 1,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.97 : 1,698 = 898.99 : x
  2. Step 2: Convert to fraction form
    1,230.97/1,698 = 898.99/x
  3. Step 3: Cross multiply
    1,230.97x = 1,698 × 898.99
  4. Step 4: Simplify right side
    1,230.97x = 1,526,485.02
  5. Step 5: Solve for x
    x = 1,526,485.02/1,230.97
  6. Step 6: Final answer
    x = 1,240.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.