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Finding the Fourth Proportional to 976.81, 1,462.96 and 564.92

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Solution

The fourth proportional to 976.81, 1,462.96 and 564.92 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.81 : 1,462.96 = 564.92 : x
  2. Step 2: Convert to fraction form
    976.81/1,462.96 = 564.92/x
  3. Step 3: Cross multiply
    976.81x = 1,462.96 × 564.92
  4. Step 4: Simplify right side
    976.81x = 826,452.54
  5. Step 5: Solve for x
    x = 826,452.54/976.81
  6. Step 6: Final answer
    x = 846.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.