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Finding the Fourth Proportional to 620.78, 929.39 and 414.95

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Solution

The fourth proportional to 620.78, 929.39 and 414.95 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.78 : 929.39 = 414.95 : x
  2. Step 2: Convert to fraction form
    620.78/929.39 = 414.95/x
  3. Step 3: Cross multiply
    620.78x = 929.39 × 414.95
  4. Step 4: Simplify right side
    620.78x = 385,643.66
  5. Step 5: Solve for x
    x = 385,643.66/620.78
  6. Step 6: Final answer
    x = 621.23

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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.