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Finding the Fourth Proportional to 509.56, 763.26 and 411.64

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Solution

The fourth proportional to 509.56, 763.26 and 411.64 is: 616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 763.26 = 411.64 : x
  2. Step 2: Convert to fraction form
    509.56/763.26 = 411.64/x
  3. Step 3: Cross multiply
    509.56x = 763.26 × 411.64
  4. Step 4: Simplify right side
    509.56x = 314,188.35
  5. Step 5: Solve for x
    x = 314,188.35/509.56
  6. Step 6: Final answer
    x = 616.59

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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.