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Finding the Fourth Proportional to 505.14, 756.68 and 319.44

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Solution

The fourth proportional to 505.14, 756.68 and 319.44 is: 478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 756.68 = 319.44 : x
  2. Step 2: Convert to fraction form
    505.14/756.68 = 319.44/x
  3. Step 3: Cross multiply
    505.14x = 756.68 × 319.44
  4. Step 4: Simplify right side
    505.14x = 241,715.10
  5. Step 5: Solve for x
    x = 241,715.10/505.14
  6. Step 6: Final answer
    x = 478.51

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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.