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Finding the Fourth Proportional to 548.56, 756.92 and 338.77

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Solution

The fourth proportional to 548.56, 756.92 and 338.77 is: 467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 756.92 = 338.77 : x
  2. Step 2: Convert to fraction form
    548.56/756.92 = 338.77/x
  3. Step 3: Cross multiply
    548.56x = 756.92 × 338.77
  4. Step 4: Simplify right side
    548.56x = 256,421.79
  5. Step 5: Solve for x
    x = 256,421.79/548.56
  6. Step 6: Final answer
    x = 467.45

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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.