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Finding the Fourth Proportional to 692.75, 1,036.70 and 653.87

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Solution

The fourth proportional to 692.75, 1,036.70 and 653.87 is: 978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 1,036.70 = 653.87 : x
  2. Step 2: Convert to fraction form
    692.75/1,036.70 = 653.87/x
  3. Step 3: Cross multiply
    692.75x = 1,036.70 × 653.87
  4. Step 4: Simplify right side
    692.75x = 677,868.80
  5. Step 5: Solve for x
    x = 677,868.80/692.75
  6. Step 6: Final answer
    x = 978.52

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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.