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Finding the Fourth Proportional to 770.67, 1,063.75 and 439.13

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Solution

The fourth proportional to 770.67, 1,063.75 and 439.13 is: 606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.67 : 1,063.75 = 439.13 : x
  2. Step 2: Convert to fraction form
    770.67/1,063.75 = 439.13/x
  3. Step 3: Cross multiply
    770.67x = 1,063.75 × 439.13
  4. Step 4: Simplify right side
    770.67x = 467,124.54
  5. Step 5: Solve for x
    x = 467,124.54/770.67
  6. Step 6: Final answer
    x = 606.13

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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.