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Finding the Fourth Proportional to 816.35, 1,222.37 and 430.79

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Solution

The fourth proportional to 816.35, 1,222.37 and 430.79 is: 645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.35 : 1,222.37 = 430.79 : x
  2. Step 2: Convert to fraction form
    816.35/1,222.37 = 430.79/x
  3. Step 3: Cross multiply
    816.35x = 1,222.37 × 430.79
  4. Step 4: Simplify right side
    816.35x = 526,582.62
  5. Step 5: Solve for x
    x = 526,582.62/816.35
  6. Step 6: Final answer
    x = 645.05

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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.