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Finding the Fourth Proportional to 1,077.27, 1,486.61 and 611.49

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Solution

The fourth proportional to 1,077.27, 1,486.61 and 611.49 is: 843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.27 : 1,486.61 = 611.49 : x
  2. Step 2: Convert to fraction form
    1,077.27/1,486.61 = 611.49/x
  3. Step 3: Cross multiply
    1,077.27x = 1,486.61 × 611.49
  4. Step 4: Simplify right side
    1,077.27x = 909,041.24
  5. Step 5: Solve for x
    x = 909,041.24/1,077.27
  6. Step 6: Final answer
    x = 843.84

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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.