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Finding the Fourth Proportional to 509.56, 764.48 and 312.13

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Solution

The fourth proportional to 509.56, 764.48 and 312.13 is: 468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 764.48 = 312.13 : x
  2. Step 2: Convert to fraction form
    509.56/764.48 = 312.13/x
  3. Step 3: Cross multiply
    509.56x = 764.48 × 312.13
  4. Step 4: Simplify right side
    509.56x = 238,611.76
  5. Step 5: Solve for x
    x = 238,611.76/509.56
  6. Step 6: Final answer
    x = 468.27

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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.