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Finding the Fourth Proportional to 540.03, 810.58 and 419.61

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Solution

The fourth proportional to 540.03, 810.58 and 419.61 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.03 : 810.58 = 419.61 : x
  2. Step 2: Convert to fraction form
    540.03/810.58 = 419.61/x
  3. Step 3: Cross multiply
    540.03x = 810.58 × 419.61
  4. Step 4: Simplify right side
    540.03x = 340,126.50
  5. Step 5: Solve for x
    x = 340,126.50/540.03
  6. Step 6: Final answer
    x = 629.83

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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.