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Finding the Fourth Proportional to 770.66, 1,063.73 and 439.30

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Solution

The fourth proportional to 770.66, 1,063.73 and 439.30 is: 606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.66 : 1,063.73 = 439.30 : x
  2. Step 2: Convert to fraction form
    770.66/1,063.73 = 439.30/x
  3. Step 3: Cross multiply
    770.66x = 1,063.73 × 439.30
  4. Step 4: Simplify right side
    770.66x = 467,291.73
  5. Step 5: Solve for x
    x = 467,291.73/770.66
  6. Step 6: Final answer
    x = 606.36

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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.