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Finding the Fourth Proportional to 509.98, 764.10 and 336.55

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Solution

The fourth proportional to 509.98, 764.10 and 336.55 is: 504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.98 : 764.10 = 336.55 : x
  2. Step 2: Convert to fraction form
    509.98/764.10 = 336.55/x
  3. Step 3: Cross multiply
    509.98x = 764.10 × 336.55
  4. Step 4: Simplify right side
    509.98x = 257,157.86
  5. Step 5: Solve for x
    x = 257,157.86/509.98
  6. Step 6: Final answer
    x = 504.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.