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Finding the Fourth Proportional to 976.20, 1,346.84 and 556.49

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Solution

The fourth proportional to 976.20, 1,346.84 and 556.49 is: 767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.20 : 1,346.84 = 556.49 : x
  2. Step 2: Convert to fraction form
    976.20/1,346.84 = 556.49/x
  3. Step 3: Cross multiply
    976.20x = 1,346.84 × 556.49
  4. Step 4: Simplify right side
    976.20x = 749,502.99
  5. Step 5: Solve for x
    x = 749,502.99/976.20
  6. Step 6: Final answer
    x = 767.78

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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.