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Finding the Fourth Proportional to 506.21, 759.02 and 457.07

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Solution

The fourth proportional to 506.21, 759.02 and 457.07 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.21 : 759.02 = 457.07 : x
  2. Step 2: Convert to fraction form
    506.21/759.02 = 457.07/x
  3. Step 3: Cross multiply
    506.21x = 759.02 × 457.07
  4. Step 4: Simplify right side
    506.21x = 346,919.19
  5. Step 5: Solve for x
    x = 346,919.19/506.21
  6. Step 6: Final answer
    x = 685.33

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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.