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Finding the Fourth Proportional to 824.49, 1,137.79 and 451.49

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Solution

The fourth proportional to 824.49, 1,137.79 and 451.49 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.49 : 1,137.79 = 451.49 : x
  2. Step 2: Convert to fraction form
    824.49/1,137.79 = 451.49/x
  3. Step 3: Cross multiply
    824.49x = 1,137.79 × 451.49
  4. Step 4: Simplify right side
    824.49x = 513,701.37
  5. Step 5: Solve for x
    x = 513,701.37/824.49
  6. Step 6: Final answer
    x = 623.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.