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Finding the Fourth Proportional to 423.16, 582.19 and 411.68

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Solution

The fourth proportional to 423.16, 582.19 and 411.68 is: 566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 582.19 = 411.68 : x
  2. Step 2: Convert to fraction form
    423.16/582.19 = 411.68/x
  3. Step 3: Cross multiply
    423.16x = 582.19 × 411.68
  4. Step 4: Simplify right side
    423.16x = 239,676.41
  5. Step 5: Solve for x
    x = 239,676.41/423.16
  6. Step 6: Final answer
    x = 566.40

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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.