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Finding the Fourth Proportional to 455.53, 682.74 and 346.99

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Solution

The fourth proportional to 455.53, 682.74 and 346.99 is: 520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.53 : 682.74 = 346.99 : x
  2. Step 2: Convert to fraction form
    455.53/682.74 = 346.99/x
  3. Step 3: Cross multiply
    455.53x = 682.74 × 346.99
  4. Step 4: Simplify right side
    455.53x = 236,903.95
  5. Step 5: Solve for x
    x = 236,903.95/455.53
  6. Step 6: Final answer
    x = 520.06

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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.