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Finding the Fourth Proportional to 1,777.34, 2,666.91 and 1,199

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Solution

The fourth proportional to 1,777.34, 2,666.91 and 1,199 is: 1,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.34 : 2,666.91 = 1,199 : x
  2. Step 2: Convert to fraction form
    1,777.34/2,666.91 = 1,199/x
  3. Step 3: Cross multiply
    1,777.34x = 2,666.91 × 1,199
  4. Step 4: Simplify right side
    1,777.34x = 3,197,625.09
  5. Step 5: Solve for x
    x = 3,197,625.09/1,777.34
  6. Step 6: Final answer
    x = 1,799.11

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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.