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Finding the Fourth Proportional to 1,503.98, 2,255.72 and 516.70

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Solution

The fourth proportional to 1,503.98, 2,255.72 and 516.70 is: 774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.98 : 2,255.72 = 516.70 : x
  2. Step 2: Convert to fraction form
    1,503.98/2,255.72 = 516.70/x
  3. Step 3: Cross multiply
    1,503.98x = 2,255.72 × 516.70
  4. Step 4: Simplify right side
    1,503.98x = 1,165,530.76
  5. Step 5: Solve for x
    x = 1,165,530.76/1,503.98
  6. Step 6: Final answer
    x = 774.96

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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.