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Finding the Fourth Proportional to 678.78, 936.51 and 416.70

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Solution

The fourth proportional to 678.78, 936.51 and 416.70 is: 574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.78 : 936.51 = 416.70 : x
  2. Step 2: Convert to fraction form
    678.78/936.51 = 416.70/x
  3. Step 3: Cross multiply
    678.78x = 936.51 × 416.70
  4. Step 4: Simplify right side
    678.78x = 390,243.72
  5. Step 5: Solve for x
    x = 390,243.72/678.78
  6. Step 6: Final answer
    x = 574.92

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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.