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Finding the Fourth Proportional to 424.44, 632.60 and 416.36

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Solution

The fourth proportional to 424.44, 632.60 and 416.36 is: 620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.44 : 632.60 = 416.36 : x
  2. Step 2: Convert to fraction form
    424.44/632.60 = 416.36/x
  3. Step 3: Cross multiply
    424.44x = 632.60 × 416.36
  4. Step 4: Simplify right side
    424.44x = 263,389.34
  5. Step 5: Solve for x
    x = 263,389.34/424.44
  6. Step 6: Final answer
    x = 620.56

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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.