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Finding the Fourth Proportional to 503, 753.24 and 430.64

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Solution

The fourth proportional to 503, 753.24 and 430.64 is: 644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 753.24 = 430.64 : x
  2. Step 2: Convert to fraction form
    503/753.24 = 430.64/x
  3. Step 3: Cross multiply
    503x = 753.24 × 430.64
  4. Step 4: Simplify right side
    503x = 324,375.27
  5. Step 5: Solve for x
    x = 324,375.27/503
  6. Step 6: Final answer
    x = 644.88

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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.