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Finding the Fourth Proportional to 976.58, 1,348.17 and 755.03

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Solution

The fourth proportional to 976.58, 1,348.17 and 755.03 is: 1,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.58 : 1,348.17 = 755.03 : x
  2. Step 2: Convert to fraction form
    976.58/1,348.17 = 755.03/x
  3. Step 3: Cross multiply
    976.58x = 1,348.17 × 755.03
  4. Step 4: Simplify right side
    976.58x = 1,017,908.80
  5. Step 5: Solve for x
    x = 1,017,908.80/976.58
  6. Step 6: Final answer
    x = 1,042.32

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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.