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Finding the Fourth Proportional to 1,157.58, 1,597.39 and 765.14

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Solution

The fourth proportional to 1,157.58, 1,597.39 and 765.14 is: 1,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.58 : 1,597.39 = 765.14 : x
  2. Step 2: Convert to fraction form
    1,157.58/1,597.39 = 765.14/x
  3. Step 3: Cross multiply
    1,157.58x = 1,597.39 × 765.14
  4. Step 4: Simplify right side
    1,157.58x = 1,222,217.08
  5. Step 5: Solve for x
    x = 1,222,217.08/1,157.58
  6. Step 6: Final answer
    x = 1,055.84

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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.