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Finding the Fourth Proportional to 937.12, 1,401.36 and 692.32

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Solution

The fourth proportional to 937.12, 1,401.36 and 692.32 is: 1,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.12 : 1,401.36 = 692.32 : x
  2. Step 2: Convert to fraction form
    937.12/1,401.36 = 692.32/x
  3. Step 3: Cross multiply
    937.12x = 1,401.36 × 692.32
  4. Step 4: Simplify right side
    937.12x = 970,189.56
  5. Step 5: Solve for x
    x = 970,189.56/937.12
  6. Step 6: Final answer
    x = 1,035.29

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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.