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Finding the Fourth Proportional to 853.61, 1,176.93 and 676.22

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Solution

The fourth proportional to 853.61, 1,176.93 and 676.22 is: 932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.61 : 1,176.93 = 676.22 : x
  2. Step 2: Convert to fraction form
    853.61/1,176.93 = 676.22/x
  3. Step 3: Cross multiply
    853.61x = 1,176.93 × 676.22
  4. Step 4: Simplify right side
    853.61x = 795,857.72
  5. Step 5: Solve for x
    x = 795,857.72/853.61
  6. Step 6: Final answer
    x = 932.35

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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.