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Finding the Fourth Proportional to 454.66, 682.14 and 386.38

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Solution

The fourth proportional to 454.66, 682.14 and 386.38 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.66 : 682.14 = 386.38 : x
  2. Step 2: Convert to fraction form
    454.66/682.14 = 386.38/x
  3. Step 3: Cross multiply
    454.66x = 682.14 × 386.38
  4. Step 4: Simplify right side
    454.66x = 263,565.25
  5. Step 5: Solve for x
    x = 263,565.25/454.66
  6. Step 6: Final answer
    x = 579.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.