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Finding the Fourth Proportional to 540.30, 809.35 and 424.20

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Solution

The fourth proportional to 540.30, 809.35 and 424.20 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.30 : 809.35 = 424.20 : x
  2. Step 2: Convert to fraction form
    540.30/809.35 = 424.20/x
  3. Step 3: Cross multiply
    540.30x = 809.35 × 424.20
  4. Step 4: Simplify right side
    540.30x = 343,326.27
  5. Step 5: Solve for x
    x = 343,326.27/540.30
  6. Step 6: Final answer
    x = 635.44

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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.