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Finding the Fourth Proportional to 540.81, 810.45 and 418.50

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Solution

The fourth proportional to 540.81, 810.45 and 418.50 is: 627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 810.45 = 418.50 : x
  2. Step 2: Convert to fraction form
    540.81/810.45 = 418.50/x
  3. Step 3: Cross multiply
    540.81x = 810.45 × 418.50
  4. Step 4: Simplify right side
    540.81x = 339,173.33
  5. Step 5: Solve for x
    x = 339,173.33/540.81
  6. Step 6: Final answer
    x = 627.16

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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.