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Finding the Fourth Proportional to 494.57, 741.25 and 263.45

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Solution

The fourth proportional to 494.57, 741.25 and 263.45 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.57 : 741.25 = 263.45 : x
  2. Step 2: Convert to fraction form
    494.57/741.25 = 263.45/x
  3. Step 3: Cross multiply
    494.57x = 741.25 × 263.45
  4. Step 4: Simplify right side
    494.57x = 195,281.00
  5. Step 5: Solve for x
    x = 195,281.00/494.57
  6. Step 6: Final answer
    x = 394.85

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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.