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Finding the Fourth Proportional to 770.44, 1,063.20 and 421.14

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Solution

The fourth proportional to 770.44, 1,063.20 and 421.14 is: 581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,063.20 = 421.14 : x
  2. Step 2: Convert to fraction form
    770.44/1,063.20 = 421.14/x
  3. Step 3: Cross multiply
    770.44x = 1,063.20 × 421.14
  4. Step 4: Simplify right side
    770.44x = 447,756.05
  5. Step 5: Solve for x
    x = 447,756.05/770.44
  6. Step 6: Final answer
    x = 581.17

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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.