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Finding the Fourth Proportional to 618.52, 853.55 and 338.77

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Solution

The fourth proportional to 618.52, 853.55 and 338.77 is: 467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.52 : 853.55 = 338.77 : x
  2. Step 2: Convert to fraction form
    618.52/853.55 = 338.77/x
  3. Step 3: Cross multiply
    618.52x = 853.55 × 338.77
  4. Step 4: Simplify right side
    618.52x = 289,157.28
  5. Step 5: Solve for x
    x = 289,157.28/618.52
  6. Step 6: Final answer
    x = 467.50

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1.5x scale

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.