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Finding the Fourth Proportional to 454.95, 683.13 and 364.43

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Solution

The fourth proportional to 454.95, 683.13 and 364.43 is: 547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.95 : 683.13 = 364.43 : x
  2. Step 2: Convert to fraction form
    454.95/683.13 = 364.43/x
  3. Step 3: Cross multiply
    454.95x = 683.13 × 364.43
  4. Step 4: Simplify right side
    454.95x = 248,956.14
  5. Step 5: Solve for x
    x = 248,956.14/454.95
  6. Step 6: Final answer
    x = 547.22

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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.