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Finding the Fourth Proportional to 1,190.32, 1,642.41 and 692.78

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Solution

The fourth proportional to 1,190.32, 1,642.41 and 692.78 is: 955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.32 : 1,642.41 = 692.78 : x
  2. Step 2: Convert to fraction form
    1,190.32/1,642.41 = 692.78/x
  3. Step 3: Cross multiply
    1,190.32x = 1,642.41 × 692.78
  4. Step 4: Simplify right side
    1,190.32x = 1,137,820.59
  5. Step 5: Solve for x
    x = 1,137,820.59/1,190.32
  6. Step 6: Final answer
    x = 955.90

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