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Finding the Fourth Proportional to 976.21, 1,463.49 and 565.54

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Solution

The fourth proportional to 976.21, 1,463.49 and 565.54 is: 847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.21 : 1,463.49 = 565.54 : x
  2. Step 2: Convert to fraction form
    976.21/1,463.49 = 565.54/x
  3. Step 3: Cross multiply
    976.21x = 1,463.49 × 565.54
  4. Step 4: Simplify right side
    976.21x = 827,658.48
  5. Step 5: Solve for x
    x = 827,658.48/976.21
  6. Step 6: Final answer
    x = 847.83

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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.