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Finding the Fourth Proportional to 421.34, 585.46 and 416.84

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Solution

The fourth proportional to 421.34, 585.46 and 416.84 is: 579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.34 : 585.46 = 416.84 : x
  2. Step 2: Convert to fraction form
    421.34/585.46 = 416.84/x
  3. Step 3: Cross multiply
    421.34x = 585.46 × 416.84
  4. Step 4: Simplify right side
    421.34x = 244,043.15
  5. Step 5: Solve for x
    x = 244,043.15/421.34
  6. Step 6: Final answer
    x = 579.21

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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.