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Finding the Fourth Proportional to 427.68, 589.14 and 405.72

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Solution

The fourth proportional to 427.68, 589.14 and 405.72 is: 558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.68 : 589.14 = 405.72 : x
  2. Step 2: Convert to fraction form
    427.68/589.14 = 405.72/x
  3. Step 3: Cross multiply
    427.68x = 589.14 × 405.72
  4. Step 4: Simplify right side
    427.68x = 239,025.88
  5. Step 5: Solve for x
    x = 239,025.88/427.68
  6. Step 6: Final answer
    x = 558.89

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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.