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Finding the Fourth Proportional to 503.24, 755.26 and 430.20

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Solution

The fourth proportional to 503.24, 755.26 and 430.20 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 755.26 = 430.20 : x
  2. Step 2: Convert to fraction form
    503.24/755.26 = 430.20/x
  3. Step 3: Cross multiply
    503.24x = 755.26 × 430.20
  4. Step 4: Simplify right side
    503.24x = 324,912.85
  5. Step 5: Solve for x
    x = 324,912.85/503.24
  6. Step 6: Final answer
    x = 645.64

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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.