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Finding the Fourth Proportional to 421.58, 580.97 and 341.69

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Solution

The fourth proportional to 421.58, 580.97 and 341.69 is: 470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.58 : 580.97 = 341.69 : x
  2. Step 2: Convert to fraction form
    421.58/580.97 = 341.69/x
  3. Step 3: Cross multiply
    421.58x = 580.97 × 341.69
  4. Step 4: Simplify right side
    421.58x = 198,509.59
  5. Step 5: Solve for x
    x = 198,509.59/421.58
  6. Step 6: Final answer
    x = 470.87

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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.