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Finding the Fourth Proportional to 580.23, 866.43 and 576.81

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Solution

The fourth proportional to 580.23, 866.43 and 576.81 is: 861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.23 : 866.43 = 576.81 : x
  2. Step 2: Convert to fraction form
    580.23/866.43 = 576.81/x
  3. Step 3: Cross multiply
    580.23x = 866.43 × 576.81
  4. Step 4: Simplify right side
    580.23x = 499,765.49
  5. Step 5: Solve for x
    x = 499,765.49/580.23
  6. Step 6: Final answer
    x = 861.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.