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Finding the Fourth Proportional to 455.45, 678.29 and 427.50

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Solution

The fourth proportional to 455.45, 678.29 and 427.50 is: 636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.45 : 678.29 = 427.50 : x
  2. Step 2: Convert to fraction form
    455.45/678.29 = 427.50/x
  3. Step 3: Cross multiply
    455.45x = 678.29 × 427.50
  4. Step 4: Simplify right side
    455.45x = 289,966.84
  5. Step 5: Solve for x
    x = 289,966.84/455.45
  6. Step 6: Final answer
    x = 636.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.