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Finding the Fourth Proportional to 506.10, 673.55 and 506.10

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Solution

The fourth proportional to 506.10, 673.55 and 506.10 is: 673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.10 : 673.55 = 506.10 : x
  2. Step 2: Convert to fraction form
    506.10/673.55 = 506.10/x
  3. Step 3: Cross multiply
    506.10x = 673.55 × 506.10
  4. Step 4: Simplify right side
    506.10x = 340,883.02
  5. Step 5: Solve for x
    x = 340,883.02/506.10
  6. Step 6: Final answer
    x = 673.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.