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Finding the Fourth Proportional to 512.19, 767.55 and 404.19

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Solution

The fourth proportional to 512.19, 767.55 and 404.19 is: 605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 767.55 = 404.19 : x
  2. Step 2: Convert to fraction form
    512.19/767.55 = 404.19/x
  3. Step 3: Cross multiply
    512.19x = 767.55 × 404.19
  4. Step 4: Simplify right side
    512.19x = 310,236.03
  5. Step 5: Solve for x
    x = 310,236.03/512.19
  6. Step 6: Final answer
    x = 605.70

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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.