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Finding the Fourth Proportional to 461.10, 632.74 and 419.33

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Solution

The fourth proportional to 461.10, 632.74 and 419.33 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.10 : 632.74 = 419.33 : x
  2. Step 2: Convert to fraction form
    461.10/632.74 = 419.33/x
  3. Step 3: Cross multiply
    461.10x = 632.74 × 419.33
  4. Step 4: Simplify right side
    461.10x = 265,326.35
  5. Step 5: Solve for x
    x = 265,326.35/461.10
  6. Step 6: Final answer
    x = 575.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.