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Finding the Fourth Proportional to 618.50, 853.63 and 356.47

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Solution

The fourth proportional to 618.50, 853.63 and 356.47 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.50 : 853.63 = 356.47 : x
  2. Step 2: Convert to fraction form
    618.50/853.63 = 356.47/x
  3. Step 3: Cross multiply
    618.50x = 853.63 × 356.47
  4. Step 4: Simplify right side
    618.50x = 304,293.49
  5. Step 5: Solve for x
    x = 304,293.49/618.50
  6. Step 6: Final answer
    x = 491.99

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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.