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Finding the Fourth Proportional to 424.36, 634.62 and 419.08

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Solution

The fourth proportional to 424.36, 634.62 and 419.08 is: 626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 634.62 = 419.08 : x
  2. Step 2: Convert to fraction form
    424.36/634.62 = 419.08/x
  3. Step 3: Cross multiply
    424.36x = 634.62 × 419.08
  4. Step 4: Simplify right side
    424.36x = 265,956.55
  5. Step 5: Solve for x
    x = 265,956.55/424.36
  6. Step 6: Final answer
    x = 626.72

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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.