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Finding the Fourth Proportional to 503.81, 751.87 and 449.13

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Solution

The fourth proportional to 503.81, 751.87 and 449.13 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.81 : 751.87 = 449.13 : x
  2. Step 2: Convert to fraction form
    503.81/751.87 = 449.13/x
  3. Step 3: Cross multiply
    503.81x = 751.87 × 449.13
  4. Step 4: Simplify right side
    503.81x = 337,687.37
  5. Step 5: Solve for x
    x = 337,687.37/503.81
  6. Step 6: Final answer
    x = 670.27

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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.