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Finding the Fourth Proportional to 427.81, 594.47 and 423.36

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Solution

The fourth proportional to 427.81, 594.47 and 423.36 is: 588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.81 : 594.47 = 423.36 : x
  2. Step 2: Convert to fraction form
    427.81/594.47 = 423.36/x
  3. Step 3: Cross multiply
    427.81x = 594.47 × 423.36
  4. Step 4: Simplify right side
    427.81x = 251,674.82
  5. Step 5: Solve for x
    x = 251,674.82/427.81
  6. Step 6: Final answer
    x = 588.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.