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Finding the Fourth Proportional to 506.37, 759.51 and 263.10

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Solution

The fourth proportional to 506.37, 759.51 and 263.10 is: 394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.37 : 759.51 = 263.10 : x
  2. Step 2: Convert to fraction form
    506.37/759.51 = 263.10/x
  3. Step 3: Cross multiply
    506.37x = 759.51 × 263.10
  4. Step 4: Simplify right side
    506.37x = 199,827.08
  5. Step 5: Solve for x
    x = 199,827.08/506.37
  6. Step 6: Final answer
    x = 394.63

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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.