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Finding the Fourth Proportional to 539.94, 805.40 and 453.81

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Solution

The fourth proportional to 539.94, 805.40 and 453.81 is: 676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.94 : 805.40 = 453.81 : x
  2. Step 2: Convert to fraction form
    539.94/805.40 = 453.81/x
  3. Step 3: Cross multiply
    539.94x = 805.40 × 453.81
  4. Step 4: Simplify right side
    539.94x = 365,496.30
  5. Step 5: Solve for x
    x = 365,496.30/539.94
  6. Step 6: Final answer
    x = 676.92

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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.