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Finding the Fourth Proportional to 976.48, 1,346.50 and 798.11

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Solution

The fourth proportional to 976.48, 1,346.50 and 798.11 is: 1,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.48 : 1,346.50 = 798.11 : x
  2. Step 2: Convert to fraction form
    976.48/1,346.50 = 798.11/x
  3. Step 3: Cross multiply
    976.48x = 1,346.50 × 798.11
  4. Step 4: Simplify right side
    976.48x = 1,074,646.39
  5. Step 5: Solve for x
    x = 1,074,646.39/976.48
  6. Step 6: Final answer
    x = 1,100.53

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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.