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Finding the Fourth Proportional to 1,192.69, 1,788.36 and 461.71

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Solution

The fourth proportional to 1,192.69, 1,788.36 and 461.71 is: 692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.69 : 1,788.36 = 461.71 : x
  2. Step 2: Convert to fraction form
    1,192.69/1,788.36 = 461.71/x
  3. Step 3: Cross multiply
    1,192.69x = 1,788.36 × 461.71
  4. Step 4: Simplify right side
    1,192.69x = 825,703.70
  5. Step 5: Solve for x
    x = 825,703.70/1,192.69
  6. Step 6: Final answer
    x = 692.30

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1.5x scale

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.