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Finding the Fourth Proportional to 580.57, 866.44 and 541.69

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Solution

The fourth proportional to 580.57, 866.44 and 541.69 is: 808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 866.44 = 541.69 : x
  2. Step 2: Convert to fraction form
    580.57/866.44 = 541.69/x
  3. Step 3: Cross multiply
    580.57x = 866.44 × 541.69
  4. Step 4: Simplify right side
    580.57x = 469,343.24
  5. Step 5: Solve for x
    x = 469,343.24/580.57
  6. Step 6: Final answer
    x = 808.42

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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.