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Finding the Fourth Proportional to 423.69, 585.12 and 377.85

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Solution

The fourth proportional to 423.69, 585.12 and 377.85 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.69 : 585.12 = 377.85 : x
  2. Step 2: Convert to fraction form
    423.69/585.12 = 377.85/x
  3. Step 3: Cross multiply
    423.69x = 585.12 × 377.85
  4. Step 4: Simplify right side
    423.69x = 221,087.59
  5. Step 5: Solve for x
    x = 221,087.59/423.69
  6. Step 6: Final answer
    x = 521.81

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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.