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Finding the Fourth Proportional to 770.44, 1,062.57 and 475.78

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Solution

The fourth proportional to 770.44, 1,062.57 and 475.78 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,062.57 = 475.78 : x
  2. Step 2: Convert to fraction form
    770.44/1,062.57 = 475.78/x
  3. Step 3: Cross multiply
    770.44x = 1,062.57 × 475.78
  4. Step 4: Simplify right side
    770.44x = 505,546.90
  5. Step 5: Solve for x
    x = 505,546.90/770.44
  6. Step 6: Final answer
    x = 656.18

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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.