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Finding the Fourth Proportional to 770.81, 1,063.79 and 439.25

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Solution

The fourth proportional to 770.81, 1,063.79 and 439.25 is: 606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.81 : 1,063.79 = 439.25 : x
  2. Step 2: Convert to fraction form
    770.81/1,063.79 = 439.25/x
  3. Step 3: Cross multiply
    770.81x = 1,063.79 × 439.25
  4. Step 4: Simplify right side
    770.81x = 467,262.24
  5. Step 5: Solve for x
    x = 467,262.24/770.81
  6. Step 6: Final answer
    x = 606.20

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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.