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Finding the Fourth Proportional to 1,209.83, 1,813.23 and 690.26

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Solution

The fourth proportional to 1,209.83, 1,813.23 and 690.26 is: 1,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.83 : 1,813.23 = 690.26 : x
  2. Step 2: Convert to fraction form
    1,209.83/1,813.23 = 690.26/x
  3. Step 3: Cross multiply
    1,209.83x = 1,813.23 × 690.26
  4. Step 4: Simplify right side
    1,209.83x = 1,251,591.07
  5. Step 5: Solve for x
    x = 1,251,591.07/1,209.83
  6. Step 6: Final answer
    x = 1,034.52

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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.