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Finding the Fourth Proportional to 506.63, 756.16 and 494.32

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Solution

The fourth proportional to 506.63, 756.16 and 494.32 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 756.16 = 494.32 : x
  2. Step 2: Convert to fraction form
    506.63/756.16 = 494.32/x
  3. Step 3: Cross multiply
    506.63x = 756.16 × 494.32
  4. Step 4: Simplify right side
    506.63x = 373,782.54
  5. Step 5: Solve for x
    x = 373,782.54/506.63
  6. Step 6: Final answer
    x = 737.79

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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.