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Finding the Fourth Proportional to 498.26, 745.98 and 376.14

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Solution

The fourth proportional to 498.26, 745.98 and 376.14 is: 563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.26 : 745.98 = 376.14 : x
  2. Step 2: Convert to fraction form
    498.26/745.98 = 376.14/x
  3. Step 3: Cross multiply
    498.26x = 745.98 × 376.14
  4. Step 4: Simplify right side
    498.26x = 280,592.92
  5. Step 5: Solve for x
    x = 280,592.92/498.26
  6. Step 6: Final answer
    x = 563.15

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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.