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Finding the Fourth Proportional to 423.19, 584.46 and 377.38

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Solution

The fourth proportional to 423.19, 584.46 and 377.38 is: 521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.19 : 584.46 = 377.38 : x
  2. Step 2: Convert to fraction form
    423.19/584.46 = 377.38/x
  3. Step 3: Cross multiply
    423.19x = 584.46 × 377.38
  4. Step 4: Simplify right side
    423.19x = 220,561.63
  5. Step 5: Solve for x
    x = 220,561.63/423.19
  6. Step 6: Final answer
    x = 521.19

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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.