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Finding the Fourth Proportional to 816.63, 1,225.13 and 451.23

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Solution

The fourth proportional to 816.63, 1,225.13 and 451.23 is: 676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.63 : 1,225.13 = 451.23 : x
  2. Step 2: Convert to fraction form
    816.63/1,225.13 = 451.23/x
  3. Step 3: Cross multiply
    816.63x = 1,225.13 × 451.23
  4. Step 4: Simplify right side
    816.63x = 552,815.41
  5. Step 5: Solve for x
    x = 552,815.41/816.63
  6. Step 6: Final answer
    x = 676.95

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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.