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Finding the Fourth Proportional to 548.65, 757.05 and 415.94

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Solution

The fourth proportional to 548.65, 757.05 and 415.94 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.65 : 757.05 = 415.94 : x
  2. Step 2: Convert to fraction form
    548.65/757.05 = 415.94/x
  3. Step 3: Cross multiply
    548.65x = 757.05 × 415.94
  4. Step 4: Simplify right side
    548.65x = 314,887.38
  5. Step 5: Solve for x
    x = 314,887.38/548.65
  6. Step 6: Final answer
    x = 573.94

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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.