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Finding the Fourth Proportional to 829.15, 1,145.16 and 644.86

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Solution

The fourth proportional to 829.15, 1,145.16 and 644.86 is: 890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.15 : 1,145.16 = 644.86 : x
  2. Step 2: Convert to fraction form
    829.15/1,145.16 = 644.86/x
  3. Step 3: Cross multiply
    829.15x = 1,145.16 × 644.86
  4. Step 4: Simplify right side
    829.15x = 738,467.88
  5. Step 5: Solve for x
    x = 738,467.88/829.15
  6. Step 6: Final answer
    x = 890.63

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Why These Related Problems?

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