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Finding the Fourth Proportional to 541.82, 748.05 and 417.24

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Solution

The fourth proportional to 541.82, 748.05 and 417.24 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.82 : 748.05 = 417.24 : x
  2. Step 2: Convert to fraction form
    541.82/748.05 = 417.24/x
  3. Step 3: Cross multiply
    541.82x = 748.05 × 417.24
  4. Step 4: Simplify right side
    541.82x = 312,114.30
  5. Step 5: Solve for x
    x = 312,114.30/541.82
  6. Step 6: Final answer
    x = 576.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.