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Finding the Fourth Proportional to 816.77, 1,223.93 and 451.67

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Solution

The fourth proportional to 816.77, 1,223.93 and 451.67 is: 676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.77 : 1,223.93 = 451.67 : x
  2. Step 2: Convert to fraction form
    816.77/1,223.93 = 451.67/x
  3. Step 3: Cross multiply
    816.77x = 1,223.93 × 451.67
  4. Step 4: Simplify right side
    816.77x = 552,804.09
  5. Step 5: Solve for x
    x = 552,804.09/816.77
  6. Step 6: Final answer
    x = 676.82

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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.