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Finding the Fourth Proportional to 540.92, 809.48 and 403.62

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Solution

The fourth proportional to 540.92, 809.48 and 403.62 is: 604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 809.48 = 403.62 : x
  2. Step 2: Convert to fraction form
    540.92/809.48 = 403.62/x
  3. Step 3: Cross multiply
    540.92x = 809.48 × 403.62
  4. Step 4: Simplify right side
    540.92x = 326,722.32
  5. Step 5: Solve for x
    x = 326,722.32/540.92
  6. Step 6: Final answer
    x = 604.01

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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.