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Finding the Fourth Proportional to 678.68, 936.26 and 416.85

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Solution

The fourth proportional to 678.68, 936.26 and 416.85 is: 575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.68 : 936.26 = 416.85 : x
  2. Step 2: Convert to fraction form
    678.68/936.26 = 416.85/x
  3. Step 3: Cross multiply
    678.68x = 936.26 × 416.85
  4. Step 4: Simplify right side
    678.68x = 390,275.95
  5. Step 5: Solve for x
    x = 390,275.95/678.68
  6. Step 6: Final answer
    x = 575.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.