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Finding the Fourth Proportional to 494.13, 741.61 and 407.63

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Solution

The fourth proportional to 494.13, 741.61 and 407.63 is: 611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.13 : 741.61 = 407.63 : x
  2. Step 2: Convert to fraction form
    494.13/741.61 = 407.63/x
  3. Step 3: Cross multiply
    494.13x = 741.61 × 407.63
  4. Step 4: Simplify right side
    494.13x = 302,302.55
  5. Step 5: Solve for x
    x = 302,302.55/494.13
  6. Step 6: Final answer
    x = 611.79

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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.