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Finding the Fourth Proportional to 506.81, 759.66 and 415.91

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Solution

The fourth proportional to 506.81, 759.66 and 415.91 is: 623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.81 : 759.66 = 415.91 : x
  2. Step 2: Convert to fraction form
    506.81/759.66 = 415.91/x
  3. Step 3: Cross multiply
    506.81x = 759.66 × 415.91
  4. Step 4: Simplify right side
    506.81x = 315,946.39
  5. Step 5: Solve for x
    x = 315,946.39/506.81
  6. Step 6: Final answer
    x = 623.41

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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.