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Finding the Fourth Proportional to 450.78, 675.84 and 340.98

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Solution

The fourth proportional to 450.78, 675.84 and 340.98 is: 511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.78 : 675.84 = 340.98 : x
  2. Step 2: Convert to fraction form
    450.78/675.84 = 340.98/x
  3. Step 3: Cross multiply
    450.78x = 675.84 × 340.98
  4. Step 4: Simplify right side
    450.78x = 230,447.92
  5. Step 5: Solve for x
    x = 230,447.92/450.78
  6. Step 6: Final answer
    x = 511.22

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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.