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Finding the Fourth Proportional to 619.29, 853.91 and 463.77

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Solution

The fourth proportional to 619.29, 853.91 and 463.77 is: 639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.29 : 853.91 = 463.77 : x
  2. Step 2: Convert to fraction form
    619.29/853.91 = 463.77/x
  3. Step 3: Cross multiply
    619.29x = 853.91 × 463.77
  4. Step 4: Simplify right side
    619.29x = 396,017.84
  5. Step 5: Solve for x
    x = 396,017.84/619.29
  6. Step 6: Final answer
    x = 639.47

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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.