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Finding the Fourth Proportional to 417.77, 577.17 and 353.37

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Solution

The fourth proportional to 417.77, 577.17 and 353.37 is: 488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.77 : 577.17 = 353.37 : x
  2. Step 2: Convert to fraction form
    417.77/577.17 = 353.37/x
  3. Step 3: Cross multiply
    417.77x = 577.17 × 353.37
  4. Step 4: Simplify right side
    417.77x = 203,954.56
  5. Step 5: Solve for x
    x = 203,954.56/417.77
  6. Step 6: Final answer
    x = 488.20

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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.