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Finding the Fourth Proportional to 540.96, 810 and 419.28

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Solution

The fourth proportional to 540.96, 810 and 419.28 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 810 = 419.28 : x
  2. Step 2: Convert to fraction form
    540.96/810 = 419.28/x
  3. Step 3: Cross multiply
    540.96x = 810 × 419.28
  4. Step 4: Simplify right side
    540.96x = 339,616.80
  5. Step 5: Solve for x
    x = 339,616.80/540.96
  6. Step 6: Final answer
    x = 627.80

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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.