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Finding the Fourth Proportional to 498.33, 745.91 and 376.83

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Solution

The fourth proportional to 498.33, 745.91 and 376.83 is: 564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.33 : 745.91 = 376.83 : x
  2. Step 2: Convert to fraction form
    498.33/745.91 = 376.83/x
  3. Step 3: Cross multiply
    498.33x = 745.91 × 376.83
  4. Step 4: Simplify right side
    498.33x = 281,084.07
  5. Step 5: Solve for x
    x = 281,084.07/498.33
  6. Step 6: Final answer
    x = 564.05

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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.