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Finding the Fourth Proportional to 1,230.90, 1,692.81 and 1,133.70

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Solution

The fourth proportional to 1,230.90, 1,692.81 and 1,133.70 is: 1,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.90 : 1,692.81 = 1,133.70 : x
  2. Step 2: Convert to fraction form
    1,230.90/1,692.81 = 1,133.70/x
  3. Step 3: Cross multiply
    1,230.90x = 1,692.81 × 1,133.70
  4. Step 4: Simplify right side
    1,230.90x = 1,919,138.70
  5. Step 5: Solve for x
    x = 1,919,138.70/1,230.90
  6. Step 6: Final answer
    x = 1,559.13

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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.