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Finding the Fourth Proportional to 507.12, 764.84 and 490.69

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Solution

The fourth proportional to 507.12, 764.84 and 490.69 is: 740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 764.84 = 490.69 : x
  2. Step 2: Convert to fraction form
    507.12/764.84 = 490.69/x
  3. Step 3: Cross multiply
    507.12x = 764.84 × 490.69
  4. Step 4: Simplify right side
    507.12x = 375,299.34
  5. Step 5: Solve for x
    x = 375,299.34/507.12
  6. Step 6: Final answer
    x = 740.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.