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Finding the Fourth Proportional to 771.18, 1,064.33 and 439.69

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Solution

The fourth proportional to 771.18, 1,064.33 and 439.69 is: 606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.18 : 1,064.33 = 439.69 : x
  2. Step 2: Convert to fraction form
    771.18/1,064.33 = 439.69/x
  3. Step 3: Cross multiply
    771.18x = 1,064.33 × 439.69
  4. Step 4: Simplify right side
    771.18x = 467,975.26
  5. Step 5: Solve for x
    x = 467,975.26/771.18
  6. Step 6: Final answer
    x = 606.83

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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.