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Finding the Fourth Proportional to 427.32, 588.20 and 405.45

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Solution

The fourth proportional to 427.32, 588.20 and 405.45 is: 558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 588.20 = 405.45 : x
  2. Step 2: Convert to fraction form
    427.32/588.20 = 405.45/x
  3. Step 3: Cross multiply
    427.32x = 588.20 × 405.45
  4. Step 4: Simplify right side
    427.32x = 238,483.66
  5. Step 5: Solve for x
    x = 238,483.66/427.32
  6. Step 6: Final answer
    x = 558.09

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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.