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Finding the Fourth Proportional to 615.99, 921.83 and 453.27

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Solution

The fourth proportional to 615.99, 921.83 and 453.27 is: 678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.99 : 921.83 = 453.27 : x
  2. Step 2: Convert to fraction form
    615.99/921.83 = 453.27/x
  3. Step 3: Cross multiply
    615.99x = 921.83 × 453.27
  4. Step 4: Simplify right side
    615.99x = 417,837.88
  5. Step 5: Solve for x
    x = 417,837.88/615.99
  6. Step 6: Final answer
    x = 678.32

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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.