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Finding the Fourth Proportional to 446.16, 612.42 and 421.86

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Solution

The fourth proportional to 446.16, 612.42 and 421.86 is: 579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 612.42 = 421.86 : x
  2. Step 2: Convert to fraction form
    446.16/612.42 = 421.86/x
  3. Step 3: Cross multiply
    446.16x = 612.42 × 421.86
  4. Step 4: Simplify right side
    446.16x = 258,355.50
  5. Step 5: Solve for x
    x = 258,355.50/446.16
  6. Step 6: Final answer
    x = 579.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.