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Finding the Fourth Proportional to 770.14, 1,157.28 and 423.73

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Solution

The fourth proportional to 770.14, 1,157.28 and 423.73 is: 636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.14 : 1,157.28 = 423.73 : x
  2. Step 2: Convert to fraction form
    770.14/1,157.28 = 423.73/x
  3. Step 3: Cross multiply
    770.14x = 1,157.28 × 423.73
  4. Step 4: Simplify right side
    770.14x = 490,374.25
  5. Step 5: Solve for x
    x = 490,374.25/770.14
  6. Step 6: Final answer
    x = 636.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.