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Finding the Fourth Proportional to 501.46, 748.85 and 496.03

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Solution

The fourth proportional to 501.46, 748.85 and 496.03 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.46 : 748.85 = 496.03 : x
  2. Step 2: Convert to fraction form
    501.46/748.85 = 496.03/x
  3. Step 3: Cross multiply
    501.46x = 748.85 × 496.03
  4. Step 4: Simplify right side
    501.46x = 371,452.36
  5. Step 5: Solve for x
    x = 371,452.36/501.46
  6. Step 6: Final answer
    x = 740.75

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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.