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Finding the Fourth Proportional to 548.87, 757.64 and 339.08

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Solution

The fourth proportional to 548.87, 757.64 and 339.08 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.87 : 757.64 = 339.08 : x
  2. Step 2: Convert to fraction form
    548.87/757.64 = 339.08/x
  3. Step 3: Cross multiply
    548.87x = 757.64 × 339.08
  4. Step 4: Simplify right side
    548.87x = 256,900.57
  5. Step 5: Solve for x
    x = 256,900.57/548.87
  6. Step 6: Final answer
    x = 468.05

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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.