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Finding the Fourth Proportional to 976.06, 1,463.19 and 391.45

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Solution

The fourth proportional to 976.06, 1,463.19 and 391.45 is: 586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.06 : 1,463.19 = 391.45 : x
  2. Step 2: Convert to fraction form
    976.06/1,463.19 = 391.45/x
  3. Step 3: Cross multiply
    976.06x = 1,463.19 × 391.45
  4. Step 4: Simplify right side
    976.06x = 572,765.73
  5. Step 5: Solve for x
    x = 572,765.73/976.06
  6. Step 6: Final answer
    x = 586.81

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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.