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Finding the Fourth Proportional to 453.15, 678.83 and 379.85

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Solution

The fourth proportional to 453.15, 678.83 and 379.85 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.15 : 678.83 = 379.85 : x
  2. Step 2: Convert to fraction form
    453.15/678.83 = 379.85/x
  3. Step 3: Cross multiply
    453.15x = 678.83 × 379.85
  4. Step 4: Simplify right side
    453.15x = 257,848.28
  5. Step 5: Solve for x
    x = 257,848.28/453.15
  6. Step 6: Final answer
    x = 569.01

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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.