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Finding the Fourth Proportional to 539.87, 805.65 and 452.39

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Solution

The fourth proportional to 539.87, 805.65 and 452.39 is: 675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.87 : 805.65 = 452.39 : x
  2. Step 2: Convert to fraction form
    539.87/805.65 = 452.39/x
  3. Step 3: Cross multiply
    539.87x = 805.65 × 452.39
  4. Step 4: Simplify right side
    539.87x = 364,462.28
  5. Step 5: Solve for x
    x = 364,462.28/539.87
  6. Step 6: Final answer
    x = 675.10

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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.