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Finding the Fourth Proportional to 1,852.77, 2,777.33 and 879.55

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Solution

The fourth proportional to 1,852.77, 2,777.33 and 879.55 is: 1,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.77 : 2,777.33 = 879.55 : x
  2. Step 2: Convert to fraction form
    1,852.77/2,777.33 = 879.55/x
  3. Step 3: Cross multiply
    1,852.77x = 2,777.33 × 879.55
  4. Step 4: Simplify right side
    1,852.77x = 2,442,805.35
  5. Step 5: Solve for x
    x = 2,442,805.35/1,852.77
  6. Step 6: Final answer
    x = 1,318.46

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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.