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Finding the Fourth Proportional to 507.72, 763.20 and 316.56

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Solution

The fourth proportional to 507.72, 763.20 and 316.56 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.72 : 763.20 = 316.56 : x
  2. Step 2: Convert to fraction form
    507.72/763.20 = 316.56/x
  3. Step 3: Cross multiply
    507.72x = 763.20 × 316.56
  4. Step 4: Simplify right side
    507.72x = 241,598.59
  5. Step 5: Solve for x
    x = 241,598.59/507.72
  6. Step 6: Final answer
    x = 475.85

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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.