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Finding the Fourth Proportional to 503.85, 751.83 and 438.24

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Solution

The fourth proportional to 503.85, 751.83 and 438.24 is: 653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.85 : 751.83 = 438.24 : x
  2. Step 2: Convert to fraction form
    503.85/751.83 = 438.24/x
  3. Step 3: Cross multiply
    503.85x = 751.83 × 438.24
  4. Step 4: Simplify right side
    503.85x = 329,481.98
  5. Step 5: Solve for x
    x = 329,481.98/503.85
  6. Step 6: Final answer
    x = 653.93

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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.