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Finding the Fourth Proportional to 562.20, 837.60 and 541.24

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Solution

The fourth proportional to 562.20, 837.60 and 541.24 is: 806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.20 : 837.60 = 541.24 : x
  2. Step 2: Convert to fraction form
    562.20/837.60 = 541.24/x
  3. Step 3: Cross multiply
    562.20x = 837.60 × 541.24
  4. Step 4: Simplify right side
    562.20x = 453,342.62
  5. Step 5: Solve for x
    x = 453,342.62/562.20
  6. Step 6: Final answer
    x = 806.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.