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Finding the Fourth Proportional to 423.21, 582.36 and 410.55

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Solution

The fourth proportional to 423.21, 582.36 and 410.55 is: 564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 582.36 = 410.55 : x
  2. Step 2: Convert to fraction form
    423.21/582.36 = 410.55/x
  3. Step 3: Cross multiply
    423.21x = 582.36 × 410.55
  4. Step 4: Simplify right side
    423.21x = 239,087.90
  5. Step 5: Solve for x
    x = 239,087.90/423.21
  6. Step 6: Final answer
    x = 564.94

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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.