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Finding the Fourth Proportional to 505.94, 757.08 and 493.79

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Solution

The fourth proportional to 505.94, 757.08 and 493.79 is: 738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 757.08 = 493.79 : x
  2. Step 2: Convert to fraction form
    505.94/757.08 = 493.79/x
  3. Step 3: Cross multiply
    505.94x = 757.08 × 493.79
  4. Step 4: Simplify right side
    505.94x = 373,834.75
  5. Step 5: Solve for x
    x = 373,834.75/505.94
  6. Step 6: Final answer
    x = 738.90

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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.