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Finding the Fourth Proportional to 505.29, 758.06 and 457.09

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Solution

The fourth proportional to 505.29, 758.06 and 457.09 is: 685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.29 : 758.06 = 457.09 : x
  2. Step 2: Convert to fraction form
    505.29/758.06 = 457.09/x
  3. Step 3: Cross multiply
    505.29x = 758.06 × 457.09
  4. Step 4: Simplify right side
    505.29x = 346,504.68
  5. Step 5: Solve for x
    x = 346,504.68/505.29
  6. Step 6: Final answer
    x = 685.76

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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.