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Finding the Fourth Proportional to 848.12, 1,169.71 and 611.60

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Solution

The fourth proportional to 848.12, 1,169.71 and 611.60 is: 843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.12 : 1,169.71 = 611.60 : x
  2. Step 2: Convert to fraction form
    848.12/1,169.71 = 611.60/x
  3. Step 3: Cross multiply
    848.12x = 1,169.71 × 611.60
  4. Step 4: Simplify right side
    848.12x = 715,387.26
  5. Step 5: Solve for x
    x = 715,387.26/848.12
  6. Step 6: Final answer
    x = 843.50

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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.