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Finding the Fourth Proportional to 539.84, 811.92 and 535.04

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Solution

The fourth proportional to 539.84, 811.92 and 535.04 is: 804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 811.92 = 535.04 : x
  2. Step 2: Convert to fraction form
    539.84/811.92 = 535.04/x
  3. Step 3: Cross multiply
    539.84x = 811.92 × 535.04
  4. Step 4: Simplify right side
    539.84x = 434,409.68
  5. Step 5: Solve for x
    x = 434,409.68/539.84
  6. Step 6: Final answer
    x = 804.70

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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.