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Finding the Fourth Proportional to 669.52, 1,005.49 and 515.82

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Solution

The fourth proportional to 669.52, 1,005.49 and 515.82 is: 774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.52 : 1,005.49 = 515.82 : x
  2. Step 2: Convert to fraction form
    669.52/1,005.49 = 515.82/x
  3. Step 3: Cross multiply
    669.52x = 1,005.49 × 515.82
  4. Step 4: Simplify right side
    669.52x = 518,651.85
  5. Step 5: Solve for x
    x = 518,651.85/669.52
  6. Step 6: Final answer
    x = 774.67

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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.