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Finding the Fourth Proportional to 506.57, 756.75 and 404.04

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Solution

The fourth proportional to 506.57, 756.75 and 404.04 is: 603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 756.75 = 404.04 : x
  2. Step 2: Convert to fraction form
    506.57/756.75 = 404.04/x
  3. Step 3: Cross multiply
    506.57x = 756.75 × 404.04
  4. Step 4: Simplify right side
    506.57x = 305,757.27
  5. Step 5: Solve for x
    x = 305,757.27/506.57
  6. Step 6: Final answer
    x = 603.59

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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.