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Finding the Fourth Proportional to 552.67, 827.69 and 404.03

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Solution

The fourth proportional to 552.67, 827.69 and 404.03 is: 605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.67 : 827.69 = 404.03 : x
  2. Step 2: Convert to fraction form
    552.67/827.69 = 404.03/x
  3. Step 3: Cross multiply
    552.67x = 827.69 × 404.03
  4. Step 4: Simplify right side
    552.67x = 334,411.59
  5. Step 5: Solve for x
    x = 334,411.59/552.67
  6. Step 6: Final answer
    x = 605.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.