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Finding the Fourth Proportional to 515.42, 769.68 and 450.62

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Solution

The fourth proportional to 515.42, 769.68 and 450.62 is: 672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.42 : 769.68 = 450.62 : x
  2. Step 2: Convert to fraction form
    515.42/769.68 = 450.62/x
  3. Step 3: Cross multiply
    515.42x = 769.68 × 450.62
  4. Step 4: Simplify right side
    515.42x = 346,830.95
  5. Step 5: Solve for x
    x = 346,830.95/515.42
  6. Step 6: Final answer
    x = 672.91

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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.