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Finding the Fourth Proportional to 548.08, 756.45 and 423.46

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Solution

The fourth proportional to 548.08, 756.45 and 423.46 is: 584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.08 : 756.45 = 423.46 : x
  2. Step 2: Convert to fraction form
    548.08/756.45 = 423.46/x
  3. Step 3: Cross multiply
    548.08x = 756.45 × 423.46
  4. Step 4: Simplify right side
    548.08x = 320,326.32
  5. Step 5: Solve for x
    x = 320,326.32/548.08
  6. Step 6: Final answer
    x = 584.45

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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.