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Finding the Fourth Proportional to 692.25, 1,038.38 and 657.65

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Solution

The fourth proportional to 692.25, 1,038.38 and 657.65 is: 986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,038.38 = 657.65 : x
  2. Step 2: Convert to fraction form
    692.25/1,038.38 = 657.65/x
  3. Step 3: Cross multiply
    692.25x = 1,038.38 × 657.65
  4. Step 4: Simplify right side
    692.25x = 682,890.61
  5. Step 5: Solve for x
    x = 682,890.61/692.25
  6. Step 6: Final answer
    x = 986.48

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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.