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Finding the Fourth Proportional to 580.14, 801.23 and 393.94

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Solution

The fourth proportional to 580.14, 801.23 and 393.94 is: 544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 801.23 = 393.94 : x
  2. Step 2: Convert to fraction form
    580.14/801.23 = 393.94/x
  3. Step 3: Cross multiply
    580.14x = 801.23 × 393.94
  4. Step 4: Simplify right side
    580.14x = 315,635.58
  5. Step 5: Solve for x
    x = 315,635.58/580.14
  6. Step 6: Final answer
    x = 544.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.