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Finding the Fourth Proportional to 1,840.55, 2,760.76 and 800.55

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Solution

The fourth proportional to 1,840.55, 2,760.76 and 800.55 is: 1,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.55 : 2,760.76 = 800.55 : x
  2. Step 2: Convert to fraction form
    1,840.55/2,760.76 = 800.55/x
  3. Step 3: Cross multiply
    1,840.55x = 2,760.76 × 800.55
  4. Step 4: Simplify right side
    1,840.55x = 2,210,126.42
  5. Step 5: Solve for x
    x = 2,210,126.42/1,840.55
  6. Step 6: Final answer
    x = 1,200.80

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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.