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Finding the Fourth Proportional to 506.01, 758.51 and 403.47

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Solution

The fourth proportional to 506.01, 758.51 and 403.47 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 758.51 = 403.47 : x
  2. Step 2: Convert to fraction form
    506.01/758.51 = 403.47/x
  3. Step 3: Cross multiply
    506.01x = 758.51 × 403.47
  4. Step 4: Simplify right side
    506.01x = 306,034.01
  5. Step 5: Solve for x
    x = 306,034.01/506.01
  6. Step 6: Final answer
    x = 604.80

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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.