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Finding the Fourth Proportional to 494.42, 741.93 and 444

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Solution

The fourth proportional to 494.42, 741.93 and 444 is: 666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 741.93 = 444 : x
  2. Step 2: Convert to fraction form
    494.42/741.93 = 444/x
  3. Step 3: Cross multiply
    494.42x = 741.93 × 444
  4. Step 4: Simplify right side
    494.42x = 329,416.92
  5. Step 5: Solve for x
    x = 329,416.92/494.42
  6. Step 6: Final answer
    x = 666.28

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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.