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Finding the Fourth Proportional to 692.70, 1,033.64 and 676.23

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Solution

The fourth proportional to 692.70, 1,033.64 and 676.23 is: 1,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 1,033.64 = 676.23 : x
  2. Step 2: Convert to fraction form
    692.70/1,033.64 = 676.23/x
  3. Step 3: Cross multiply
    692.70x = 1,033.64 × 676.23
  4. Step 4: Simplify right side
    692.70x = 698,975.00
  5. Step 5: Solve for x
    x = 698,975.00/692.70
  6. Step 6: Final answer
    x = 1,009.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.