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Finding the Fourth Proportional to 493.91, 741.62 and 417.87

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Solution

The fourth proportional to 493.91, 741.62 and 417.87 is: 627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.91 : 741.62 = 417.87 : x
  2. Step 2: Convert to fraction form
    493.91/741.62 = 417.87/x
  3. Step 3: Cross multiply
    493.91x = 741.62 × 417.87
  4. Step 4: Simplify right side
    493.91x = 309,900.75
  5. Step 5: Solve for x
    x = 309,900.75/493.91
  6. Step 6: Final answer
    x = 627.44

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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.