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Finding the Fourth Proportional to 1,190.23, 1,641.84 and 692.81

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Solution

The fourth proportional to 1,190.23, 1,641.84 and 692.81 is: 955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.23 : 1,641.84 = 692.81 : x
  2. Step 2: Convert to fraction form
    1,190.23/1,641.84 = 692.81/x
  3. Step 3: Cross multiply
    1,190.23x = 1,641.84 × 692.81
  4. Step 4: Simplify right side
    1,190.23x = 1,137,478.52
  5. Step 5: Solve for x
    x = 1,137,478.52/1,190.23
  6. Step 6: Final answer
    x = 955.68

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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.