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Finding the Fourth Proportional to 506.38, 753.60 and 504.94

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Solution

The fourth proportional to 506.38, 753.60 and 504.94 is: 751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.38 : 753.60 = 504.94 : x
  2. Step 2: Convert to fraction form
    506.38/753.60 = 504.94/x
  3. Step 3: Cross multiply
    506.38x = 753.60 × 504.94
  4. Step 4: Simplify right side
    506.38x = 380,522.78
  5. Step 5: Solve for x
    x = 380,522.78/506.38
  6. Step 6: Final answer
    x = 751.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.