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Finding the Fourth Proportional to 489.19, 672.81 and 427.07

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Solution

The fourth proportional to 489.19, 672.81 and 427.07 is: 587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.19 : 672.81 = 427.07 : x
  2. Step 2: Convert to fraction form
    489.19/672.81 = 427.07/x
  3. Step 3: Cross multiply
    489.19x = 672.81 × 427.07
  4. Step 4: Simplify right side
    489.19x = 287,337.05
  5. Step 5: Solve for x
    x = 287,337.05/489.19
  6. Step 6: Final answer
    x = 587.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.