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Finding the Fourth Proportional to 503.55, 755.61 and 298.50

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Solution

The fourth proportional to 503.55, 755.61 and 298.50 is: 447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.55 : 755.61 = 298.50 : x
  2. Step 2: Convert to fraction form
    503.55/755.61 = 298.50/x
  3. Step 3: Cross multiply
    503.55x = 755.61 × 298.50
  4. Step 4: Simplify right side
    503.55x = 225,549.59
  5. Step 5: Solve for x
    x = 225,549.59/503.55
  6. Step 6: Final answer
    x = 447.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.