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Finding the Fourth Proportional to 453.87, 682.02 and 346.14

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Solution

The fourth proportional to 453.87, 682.02 and 346.14 is: 520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.87 : 682.02 = 346.14 : x
  2. Step 2: Convert to fraction form
    453.87/682.02 = 346.14/x
  3. Step 3: Cross multiply
    453.87x = 682.02 × 346.14
  4. Step 4: Simplify right side
    453.87x = 236,074.40
  5. Step 5: Solve for x
    x = 236,074.40/453.87
  6. Step 6: Final answer
    x = 520.14

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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.