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Finding the Fourth Proportional to 1,199.78, 1,655.67 and 675.80

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Solution

The fourth proportional to 1,199.78, 1,655.67 and 675.80 is: 932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.78 : 1,655.67 = 675.80 : x
  2. Step 2: Convert to fraction form
    1,199.78/1,655.67 = 675.80/x
  3. Step 3: Cross multiply
    1,199.78x = 1,655.67 × 675.80
  4. Step 4: Simplify right side
    1,199.78x = 1,118,893.51
  5. Step 5: Solve for x
    x = 1,118,893.51/1,199.78
  6. Step 6: Final answer
    x = 932.59

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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.