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Finding the Fourth Proportional to 416.96, 627.74 and 365.93

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Solution

The fourth proportional to 416.96, 627.74 and 365.93 is: 550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 627.74 = 365.93 : x
  2. Step 2: Convert to fraction form
    416.96/627.74 = 365.93/x
  3. Step 3: Cross multiply
    416.96x = 627.74 × 365.93
  4. Step 4: Simplify right side
    416.96x = 229,703.93
  5. Step 5: Solve for x
    x = 229,703.93/416.96
  6. Step 6: Final answer
    x = 550.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.