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Finding the Fourth Proportional to 489.18, 671.80 and 419.24

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Solution

The fourth proportional to 489.18, 671.80 and 419.24 is: 575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.18 : 671.80 = 419.24 : x
  2. Step 2: Convert to fraction form
    489.18/671.80 = 419.24/x
  3. Step 3: Cross multiply
    489.18x = 671.80 × 419.24
  4. Step 4: Simplify right side
    489.18x = 281,645.43
  5. Step 5: Solve for x
    x = 281,645.43/489.18
  6. Step 6: Final answer
    x = 575.75

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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.