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Finding the Fourth Proportional to 548.10, 755.34 and 390.74

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Solution

The fourth proportional to 548.10, 755.34 and 390.74 is: 538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 755.34 = 390.74 : x
  2. Step 2: Convert to fraction form
    548.10/755.34 = 390.74/x
  3. Step 3: Cross multiply
    548.10x = 755.34 × 390.74
  4. Step 4: Simplify right side
    548.10x = 295,137.77
  5. Step 5: Solve for x
    x = 295,137.77/548.10
  6. Step 6: Final answer
    x = 538.47

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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.