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Finding the Fourth Proportional to 494.82, 741.60 and 289.08

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Solution

The fourth proportional to 494.82, 741.60 and 289.08 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 741.60 = 289.08 : x
  2. Step 2: Convert to fraction form
    494.82/741.60 = 289.08/x
  3. Step 3: Cross multiply
    494.82x = 741.60 × 289.08
  4. Step 4: Simplify right side
    494.82x = 214,381.73
  5. Step 5: Solve for x
    x = 214,381.73/494.82
  6. Step 6: Final answer
    x = 433.25

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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.