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Finding the Fourth Proportional to 453.09, 677.31 and 336.45

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Solution

The fourth proportional to 453.09, 677.31 and 336.45 is: 502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.09 : 677.31 = 336.45 : x
  2. Step 2: Convert to fraction form
    453.09/677.31 = 336.45/x
  3. Step 3: Cross multiply
    453.09x = 677.31 × 336.45
  4. Step 4: Simplify right side
    453.09x = 227,880.95
  5. Step 5: Solve for x
    x = 227,880.95/453.09
  6. Step 6: Final answer
    x = 502.95

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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.