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Finding the Fourth Proportional to 1,157.46, 1,597.59 and 758.94

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Solution

The fourth proportional to 1,157.46, 1,597.59 and 758.94 is: 1,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.46 : 1,597.59 = 758.94 : x
  2. Step 2: Convert to fraction form
    1,157.46/1,597.59 = 758.94/x
  3. Step 3: Cross multiply
    1,157.46x = 1,597.59 × 758.94
  4. Step 4: Simplify right side
    1,157.46x = 1,212,474.95
  5. Step 5: Solve for x
    x = 1,212,474.95/1,157.46
  6. Step 6: Final answer
    x = 1,047.53

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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.