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Finding the Fourth Proportional to 669.54, 1,003.44 and 514.89

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Solution

The fourth proportional to 669.54, 1,003.44 and 514.89 is: 771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 1,003.44 = 514.89 : x
  2. Step 2: Convert to fraction form
    669.54/1,003.44 = 514.89/x
  3. Step 3: Cross multiply
    669.54x = 1,003.44 × 514.89
  4. Step 4: Simplify right side
    669.54x = 516,661.22
  5. Step 5: Solve for x
    x = 516,661.22/669.54
  6. Step 6: Final answer
    x = 771.67

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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.