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Finding the Fourth Proportional to 976.90, 1,348.41 and 682.26

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Solution

The fourth proportional to 976.90, 1,348.41 and 682.26 is: 941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.90 : 1,348.41 = 682.26 : x
  2. Step 2: Convert to fraction form
    976.90/1,348.41 = 682.26/x
  3. Step 3: Cross multiply
    976.90x = 1,348.41 × 682.26
  4. Step 4: Simplify right side
    976.90x = 919,966.21
  5. Step 5: Solve for x
    x = 919,966.21/976.90
  6. Step 6: Final answer
    x = 941.72

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1.5x scale

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.