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Finding the Fourth Proportional to 816.35, 1,222.93 and 652.12

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Solution

The fourth proportional to 816.35, 1,222.93 and 652.12 is: 976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.35 : 1,222.93 = 652.12 : x
  2. Step 2: Convert to fraction form
    816.35/1,222.93 = 652.12/x
  3. Step 3: Cross multiply
    816.35x = 1,222.93 × 652.12
  4. Step 4: Simplify right side
    816.35x = 797,494.87
  5. Step 5: Solve for x
    x = 797,494.87/816.35
  6. Step 6: Final answer
    x = 976.91

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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.