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Finding the Fourth Proportional to 539.49, 809.38 and 174.32

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Solution

The fourth proportional to 539.49, 809.38 and 174.32 is: 261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.49 : 809.38 = 174.32 : x
  2. Step 2: Convert to fraction form
    539.49/809.38 = 174.32/x
  3. Step 3: Cross multiply
    539.49x = 809.38 × 174.32
  4. Step 4: Simplify right side
    539.49x = 141,089.35
  5. Step 5: Solve for x
    x = 141,089.35/539.49
  6. Step 6: Final answer
    x = 261.52

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1.5x scale

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.