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Finding the Fourth Proportional to 565.79, 851.72 and 506.25

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Solution

The fourth proportional to 565.79, 851.72 and 506.25 is: 762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.79 : 851.72 = 506.25 : x
  2. Step 2: Convert to fraction form
    565.79/851.72 = 506.25/x
  3. Step 3: Cross multiply
    565.79x = 851.72 × 506.25
  4. Step 4: Simplify right side
    565.79x = 431,180.72
  5. Step 5: Solve for x
    x = 431,180.72/565.79
  6. Step 6: Final answer
    x = 762.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.