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Finding the Fourth Proportional to 507.89, 762.08 and 499.70

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Solution

The fourth proportional to 507.89, 762.08 and 499.70 is: 749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.89 : 762.08 = 499.70 : x
  2. Step 2: Convert to fraction form
    507.89/762.08 = 499.70/x
  3. Step 3: Cross multiply
    507.89x = 762.08 × 499.70
  4. Step 4: Simplify right side
    507.89x = 380,808.88
  5. Step 5: Solve for x
    x = 380,808.88/507.89
  6. Step 6: Final answer
    x = 749.79

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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.