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Finding the Fourth Proportional to 613.40, 920.49 and 511.88

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Solution

The fourth proportional to 613.40, 920.49 and 511.88 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.40 : 920.49 = 511.88 : x
  2. Step 2: Convert to fraction form
    613.40/920.49 = 511.88/x
  3. Step 3: Cross multiply
    613.40x = 920.49 × 511.88
  4. Step 4: Simplify right side
    613.40x = 471,175.82
  5. Step 5: Solve for x
    x = 471,175.82/613.40
  6. Step 6: Final answer
    x = 768.14

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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.