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Finding the Fourth Proportional to 454.59, 628.02 and 367.11

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Solution

The fourth proportional to 454.59, 628.02 and 367.11 is: 507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.59 : 628.02 = 367.11 : x
  2. Step 2: Convert to fraction form
    454.59/628.02 = 367.11/x
  3. Step 3: Cross multiply
    454.59x = 628.02 × 367.11
  4. Step 4: Simplify right side
    454.59x = 230,552.42
  5. Step 5: Solve for x
    x = 230,552.42/454.59
  6. Step 6: Final answer
    x = 507.17

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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.