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Finding the Fourth Proportional to 1,860.42, 2,790.96 and 765.56

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Solution

The fourth proportional to 1,860.42, 2,790.96 and 765.56 is: 1,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.42 : 2,790.96 = 765.56 : x
  2. Step 2: Convert to fraction form
    1,860.42/2,790.96 = 765.56/x
  3. Step 3: Cross multiply
    1,860.42x = 2,790.96 × 765.56
  4. Step 4: Simplify right side
    1,860.42x = 2,136,647.34
  5. Step 5: Solve for x
    x = 2,136,647.34/1,860.42
  6. Step 6: Final answer
    x = 1,148.48

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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.