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Finding the Fourth Proportional to 542.08, 811.20 and 419.56

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Solution

The fourth proportional to 542.08, 811.20 and 419.56 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 811.20 = 419.56 : x
  2. Step 2: Convert to fraction form
    542.08/811.20 = 419.56/x
  3. Step 3: Cross multiply
    542.08x = 811.20 × 419.56
  4. Step 4: Simplify right side
    542.08x = 340,347.07
  5. Step 5: Solve for x
    x = 340,347.07/542.08
  6. Step 6: Final answer
    x = 627.85

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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.