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Finding the Fourth Proportional to 423.77, 584.69 and 305.78

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Solution

The fourth proportional to 423.77, 584.69 and 305.78 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.77 : 584.69 = 305.78 : x
  2. Step 2: Convert to fraction form
    423.77/584.69 = 305.78/x
  3. Step 3: Cross multiply
    423.77x = 584.69 × 305.78
  4. Step 4: Simplify right side
    423.77x = 178,782.06
  5. Step 5: Solve for x
    x = 178,782.06/423.77
  6. Step 6: Final answer
    x = 421.89

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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.