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Finding the Fourth Proportional to 506.42, 758.99 and 403.28

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Solution

The fourth proportional to 506.42, 758.99 and 403.28 is: 604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.42 : 758.99 = 403.28 : x
  2. Step 2: Convert to fraction form
    506.42/758.99 = 403.28/x
  3. Step 3: Cross multiply
    506.42x = 758.99 × 403.28
  4. Step 4: Simplify right side
    506.42x = 306,079.68
  5. Step 5: Solve for x
    x = 306,079.68/506.42
  6. Step 6: Final answer
    x = 604.40

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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.