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Finding the Fourth Proportional to 539.97, 809.93 and 357.48

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Solution

The fourth proportional to 539.97, 809.93 and 357.48 is: 536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.97 : 809.93 = 357.48 : x
  2. Step 2: Convert to fraction form
    539.97/809.93 = 357.48/x
  3. Step 3: Cross multiply
    539.97x = 809.93 × 357.48
  4. Step 4: Simplify right side
    539.97x = 289,534.67
  5. Step 5: Solve for x
    x = 289,534.67/539.97
  6. Step 6: Final answer
    x = 536.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.