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Finding the Fourth Proportional to 509.36, 758.26 and 506.63

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Solution

The fourth proportional to 509.36, 758.26 and 506.63 is: 754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.36 : 758.26 = 506.63 : x
  2. Step 2: Convert to fraction form
    509.36/758.26 = 506.63/x
  3. Step 3: Cross multiply
    509.36x = 758.26 × 506.63
  4. Step 4: Simplify right side
    509.36x = 384,157.26
  5. Step 5: Solve for x
    x = 384,157.26/509.36
  6. Step 6: Final answer
    x = 754.20

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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.