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Finding the Fourth Proportional to 540.14, 809.51 and 442.71

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Solution

The fourth proportional to 540.14, 809.51 and 442.71 is: 663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 809.51 = 442.71 : x
  2. Step 2: Convert to fraction form
    540.14/809.51 = 442.71/x
  3. Step 3: Cross multiply
    540.14x = 809.51 × 442.71
  4. Step 4: Simplify right side
    540.14x = 358,375.96
  5. Step 5: Solve for x
    x = 358,375.96/540.14
  6. Step 6: Final answer
    x = 663.49

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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.