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Finding the Fourth Proportional to 423.89, 584.67 and 389.05

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Solution

The fourth proportional to 423.89, 584.67 and 389.05 is: 536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.89 : 584.67 = 389.05 : x
  2. Step 2: Convert to fraction form
    423.89/584.67 = 389.05/x
  3. Step 3: Cross multiply
    423.89x = 584.67 × 389.05
  4. Step 4: Simplify right side
    423.89x = 227,462.94
  5. Step 5: Solve for x
    x = 227,462.94/423.89
  6. Step 6: Final answer
    x = 536.61

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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.