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Finding the Fourth Proportional to 539.97, 805.40 and 453.84

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Solution

The fourth proportional to 539.97, 805.40 and 453.84 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.97 : 805.40 = 453.84 : x
  2. Step 2: Convert to fraction form
    539.97/805.40 = 453.84/x
  3. Step 3: Cross multiply
    539.97x = 805.40 × 453.84
  4. Step 4: Simplify right side
    539.97x = 365,520.47
  5. Step 5: Solve for x
    x = 365,520.47/539.97
  6. Step 6: Final answer
    x = 676.93

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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.