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Finding the Fourth Proportional to 692.35, 1,038.62 and 650.63

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Solution

The fourth proportional to 692.35, 1,038.62 and 650.63 is: 976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.35 : 1,038.62 = 650.63 : x
  2. Step 2: Convert to fraction form
    692.35/1,038.62 = 650.63/x
  3. Step 3: Cross multiply
    692.35x = 1,038.62 × 650.63
  4. Step 4: Simplify right side
    692.35x = 675,761.55
  5. Step 5: Solve for x
    x = 675,761.55/692.35
  6. Step 6: Final answer
    x = 976.04

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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.