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Finding the Fourth Proportional to 1,209.84, 1,812.84 and 697.20

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Solution

The fourth proportional to 1,209.84, 1,812.84 and 697.20 is: 1,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.84 : 1,812.84 = 697.20 : x
  2. Step 2: Convert to fraction form
    1,209.84/1,812.84 = 697.20/x
  3. Step 3: Cross multiply
    1,209.84x = 1,812.84 × 697.20
  4. Step 4: Simplify right side
    1,209.84x = 1,263,912.05
  5. Step 5: Solve for x
    x = 1,263,912.05/1,209.84
  6. Step 6: Final answer
    x = 1,044.69

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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.