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Finding the Fourth Proportional to 1,157.11, 1,597.46 and 764.82

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Solution

The fourth proportional to 1,157.11, 1,597.46 and 764.82 is: 1,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.11 : 1,597.46 = 764.82 : x
  2. Step 2: Convert to fraction form
    1,157.11/1,597.46 = 764.82/x
  3. Step 3: Cross multiply
    1,157.11x = 1,597.46 × 764.82
  4. Step 4: Simplify right side
    1,157.11x = 1,221,765.53
  5. Step 5: Solve for x
    x = 1,221,765.53/1,157.11
  6. Step 6: Final answer
    x = 1,055.88

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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.