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Finding the Fourth Proportional to 618.66, 853.05 and 463.14

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Solution

The fourth proportional to 618.66, 853.05 and 463.14 is: 638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.66 : 853.05 = 463.14 : x
  2. Step 2: Convert to fraction form
    618.66/853.05 = 463.14/x
  3. Step 3: Cross multiply
    618.66x = 853.05 × 463.14
  4. Step 4: Simplify right side
    618.66x = 395,081.58
  5. Step 5: Solve for x
    x = 395,081.58/618.66
  6. Step 6: Final answer
    x = 638.61

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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.