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Finding the Fourth Proportional to 454.86, 628.58 and 344.14

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Solution

The fourth proportional to 454.86, 628.58 and 344.14 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.86 : 628.58 = 344.14 : x
  2. Step 2: Convert to fraction form
    454.86/628.58 = 344.14/x
  3. Step 3: Cross multiply
    454.86x = 628.58 × 344.14
  4. Step 4: Simplify right side
    454.86x = 216,318.81
  5. Step 5: Solve for x
    x = 216,318.81/454.86
  6. Step 6: Final answer
    x = 475.57

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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.