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Finding the Fourth Proportional to 539.29, 744.51 and 362.50

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Solution

The fourth proportional to 539.29, 744.51 and 362.50 is: 500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.29 : 744.51 = 362.50 : x
  2. Step 2: Convert to fraction form
    539.29/744.51 = 362.50/x
  3. Step 3: Cross multiply
    539.29x = 744.51 × 362.50
  4. Step 4: Simplify right side
    539.29x = 269,884.88
  5. Step 5: Solve for x
    x = 269,884.88/539.29
  6. Step 6: Final answer
    x = 500.44

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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.