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Finding the Fourth Proportional to 446.80, 612.64 and 431.34

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Solution

The fourth proportional to 446.80, 612.64 and 431.34 is: 591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 612.64 = 431.34 : x
  2. Step 2: Convert to fraction form
    446.80/612.64 = 431.34/x
  3. Step 3: Cross multiply
    446.80x = 612.64 × 431.34
  4. Step 4: Simplify right side
    446.80x = 264,256.14
  5. Step 5: Solve for x
    x = 264,256.14/446.80
  6. Step 6: Final answer
    x = 591.44

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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.