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Finding the Fourth Proportional to 417.57, 573.38 and 354.66

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Solution

The fourth proportional to 417.57, 573.38 and 354.66 is: 486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.57 : 573.38 = 354.66 : x
  2. Step 2: Convert to fraction form
    417.57/573.38 = 354.66/x
  3. Step 3: Cross multiply
    417.57x = 573.38 × 354.66
  4. Step 4: Simplify right side
    417.57x = 203,353.18
  5. Step 5: Solve for x
    x = 203,353.18/417.57
  6. Step 6: Final answer
    x = 486.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.