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Finding the Fourth Proportional to 494.06, 736.73 and 460.55

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Solution

The fourth proportional to 494.06, 736.73 and 460.55 is: 686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.06 : 736.73 = 460.55 : x
  2. Step 2: Convert to fraction form
    494.06/736.73 = 460.55/x
  3. Step 3: Cross multiply
    494.06x = 736.73 × 460.55
  4. Step 4: Simplify right side
    494.06x = 339,295.02
  5. Step 5: Solve for x
    x = 339,295.02/494.06
  6. Step 6: Final answer
    x = 686.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.