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Finding the Fourth Proportional to 454.14, 622.76 and 431.46

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Solution

The fourth proportional to 454.14, 622.76 and 431.46 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.14 : 622.76 = 431.46 : x
  2. Step 2: Convert to fraction form
    454.14/622.76 = 431.46/x
  3. Step 3: Cross multiply
    454.14x = 622.76 × 431.46
  4. Step 4: Simplify right side
    454.14x = 268,693.87
  5. Step 5: Solve for x
    x = 268,693.87/454.14
  6. Step 6: Final answer
    x = 591.65

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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.