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Finding the Fourth Proportional to 541.76, 811.20 and 425.60

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Solution

The fourth proportional to 541.76, 811.20 and 425.60 is: 637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 811.20 = 425.60 : x
  2. Step 2: Convert to fraction form
    541.76/811.20 = 425.60/x
  3. Step 3: Cross multiply
    541.76x = 811.20 × 425.60
  4. Step 4: Simplify right side
    541.76x = 345,246.72
  5. Step 5: Solve for x
    x = 345,246.72/541.76
  6. Step 6: Final answer
    x = 637.27

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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.