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Finding the Fourth Proportional to 424.96, 634.14 and 376.36

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Solution

The fourth proportional to 424.96, 634.14 and 376.36 is: 561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.96 : 634.14 = 376.36 : x
  2. Step 2: Convert to fraction form
    424.96/634.14 = 376.36/x
  3. Step 3: Cross multiply
    424.96x = 634.14 × 376.36
  4. Step 4: Simplify right side
    424.96x = 238,664.93
  5. Step 5: Solve for x
    x = 238,664.93/424.96
  6. Step 6: Final answer
    x = 561.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.