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Finding the Fourth Proportional to 853.14, 1,279.71 and 564.51

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Solution

The fourth proportional to 853.14, 1,279.71 and 564.51 is: 846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.14 : 1,279.71 = 564.51 : x
  2. Step 2: Convert to fraction form
    853.14/1,279.71 = 564.51/x
  3. Step 3: Cross multiply
    853.14x = 1,279.71 × 564.51
  4. Step 4: Simplify right side
    853.14x = 722,409.09
  5. Step 5: Solve for x
    x = 722,409.09/853.14
  6. Step 6: Final answer
    x = 846.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.