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Finding the Fourth Proportional to 770.56, 1,150.14 and 716.38

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Solution

The fourth proportional to 770.56, 1,150.14 and 716.38 is: 1,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.56 : 1,150.14 = 716.38 : x
  2. Step 2: Convert to fraction form
    770.56/1,150.14 = 716.38/x
  3. Step 3: Cross multiply
    770.56x = 1,150.14 × 716.38
  4. Step 4: Simplify right side
    770.56x = 823,933.07
  5. Step 5: Solve for x
    x = 823,933.07/770.56
  6. Step 6: Final answer
    x = 1,069.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.