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Finding the Fourth Proportional to 1,147.35, 1,583.60 and 754.41

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Solution

The fourth proportional to 1,147.35, 1,583.60 and 754.41 is: 1,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.35 : 1,583.60 = 754.41 : x
  2. Step 2: Convert to fraction form
    1,147.35/1,583.60 = 754.41/x
  3. Step 3: Cross multiply
    1,147.35x = 1,583.60 × 754.41
  4. Step 4: Simplify right side
    1,147.35x = 1,194,680.85
  5. Step 5: Solve for x
    x = 1,194,680.85/1,147.35
  6. Step 6: Final answer
    x = 1,041.25

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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.