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Finding the Fourth Proportional to 507.94, 757.03 and 507.13

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Solution

The fourth proportional to 507.94, 757.03 and 507.13 is: 755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 757.03 = 507.13 : x
  2. Step 2: Convert to fraction form
    507.94/757.03 = 507.13/x
  3. Step 3: Cross multiply
    507.94x = 757.03 × 507.13
  4. Step 4: Simplify right side
    507.94x = 383,912.62
  5. Step 5: Solve for x
    x = 383,912.62/507.94
  6. Step 6: Final answer
    x = 755.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.