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Finding the Fourth Proportional to 1,210.89, 1,660.11 and 1,189.02

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Solution

The fourth proportional to 1,210.89, 1,660.11 and 1,189.02 is: 1,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.89 : 1,660.11 = 1,189.02 : x
  2. Step 2: Convert to fraction form
    1,210.89/1,660.11 = 1,189.02/x
  3. Step 3: Cross multiply
    1,210.89x = 1,660.11 × 1,189.02
  4. Step 4: Simplify right side
    1,210.89x = 1,973,903.99
  5. Step 5: Solve for x
    x = 1,973,903.99/1,210.89
  6. Step 6: Final answer
    x = 1,630.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.