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Finding the Fourth Proportional to 1,190.21, 1,642.57 and 692.92

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Solution

The fourth proportional to 1,190.21, 1,642.57 and 692.92 is: 956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.21 : 1,642.57 = 692.92 : x
  2. Step 2: Convert to fraction form
    1,190.21/1,642.57 = 692.92/x
  3. Step 3: Cross multiply
    1,190.21x = 1,642.57 × 692.92
  4. Step 4: Simplify right side
    1,190.21x = 1,138,163.77
  5. Step 5: Solve for x
    x = 1,138,163.77/1,190.21
  6. Step 6: Final answer
    x = 956.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.