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Finding the Fourth Proportional to 1,322.20, 1,823.77 and 849.35

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Solution

The fourth proportional to 1,322.20, 1,823.77 and 849.35 is: 1,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.20 : 1,823.77 = 849.35 : x
  2. Step 2: Convert to fraction form
    1,322.20/1,823.77 = 849.35/x
  3. Step 3: Cross multiply
    1,322.20x = 1,823.77 × 849.35
  4. Step 4: Simplify right side
    1,322.20x = 1,549,019.05
  5. Step 5: Solve for x
    x = 1,549,019.05/1,322.20
  6. Step 6: Final answer
    x = 1,171.55

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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.