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Finding the Fourth Proportional to 452.35, 678.06 and 343.91

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Solution

The fourth proportional to 452.35, 678.06 and 343.91 is: 515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.35 : 678.06 = 343.91 : x
  2. Step 2: Convert to fraction form
    452.35/678.06 = 343.91/x
  3. Step 3: Cross multiply
    452.35x = 678.06 × 343.91
  4. Step 4: Simplify right side
    452.35x = 233,188.22
  5. Step 5: Solve for x
    x = 233,188.22/452.35
  6. Step 6: Final answer
    x = 515.51

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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.