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Finding the Fourth Proportional to 853.44, 1,176.37 and 666.61

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Solution

The fourth proportional to 853.44, 1,176.37 and 666.61 is: 918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.44 : 1,176.37 = 666.61 : x
  2. Step 2: Convert to fraction form
    853.44/1,176.37 = 666.61/x
  3. Step 3: Cross multiply
    853.44x = 1,176.37 × 666.61
  4. Step 4: Simplify right side
    853.44x = 784,175.34
  5. Step 5: Solve for x
    x = 784,175.34/853.44
  6. Step 6: Final answer
    x = 918.84

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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.