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Finding the Fourth Proportional to 976.73, 1,464.13 and 391.57

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Solution

The fourth proportional to 976.73, 1,464.13 and 391.57 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.73 : 1,464.13 = 391.57 : x
  2. Step 2: Convert to fraction form
    976.73/1,464.13 = 391.57/x
  3. Step 3: Cross multiply
    976.73x = 1,464.13 × 391.57
  4. Step 4: Simplify right side
    976.73x = 573,306.21
  5. Step 5: Solve for x
    x = 573,306.21/976.73
  6. Step 6: Final answer
    x = 586.97

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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.