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Finding the Fourth Proportional to 503.46, 751.84 and 498.03

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Solution

The fourth proportional to 503.46, 751.84 and 498.03 is: 743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.46 : 751.84 = 498.03 : x
  2. Step 2: Convert to fraction form
    503.46/751.84 = 498.03/x
  3. Step 3: Cross multiply
    503.46x = 751.84 × 498.03
  4. Step 4: Simplify right side
    503.46x = 374,438.88
  5. Step 5: Solve for x
    x = 374,438.88/503.46
  6. Step 6: Final answer
    x = 743.73

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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.