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Finding the Fourth Proportional to 619.28, 853.14 and 488.06

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Solution

The fourth proportional to 619.28, 853.14 and 488.06 is: 672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.28 : 853.14 = 488.06 : x
  2. Step 2: Convert to fraction form
    619.28/853.14 = 488.06/x
  3. Step 3: Cross multiply
    619.28x = 853.14 × 488.06
  4. Step 4: Simplify right side
    619.28x = 416,383.51
  5. Step 5: Solve for x
    x = 416,383.51/619.28
  6. Step 6: Final answer
    x = 672.37

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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.