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Finding the Fourth Proportional to 976.19, 1,346.63 and 682.16

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Solution

The fourth proportional to 976.19, 1,346.63 and 682.16 is: 941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.19 : 1,346.63 = 682.16 : x
  2. Step 2: Convert to fraction form
    976.19/1,346.63 = 682.16/x
  3. Step 3: Cross multiply
    976.19x = 1,346.63 × 682.16
  4. Step 4: Simplify right side
    976.19x = 918,606.98
  5. Step 5: Solve for x
    x = 918,606.98/976.19
  6. Step 6: Final answer
    x = 941.02

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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.