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Finding the Fourth Proportional to 976.34, 1,348.18 and 697.44

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Solution

The fourth proportional to 976.34, 1,348.18 and 697.44 is: 963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.34 : 1,348.18 = 697.44 : x
  2. Step 2: Convert to fraction form
    976.34/1,348.18 = 697.44/x
  3. Step 3: Cross multiply
    976.34x = 1,348.18 × 697.44
  4. Step 4: Simplify right side
    976.34x = 940,274.66
  5. Step 5: Solve for x
    x = 940,274.66/976.34
  6. Step 6: Final answer
    x = 963.06

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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.