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Finding the Fourth Proportional to 678.42, 935.79 and 468.23

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Solution

The fourth proportional to 678.42, 935.79 and 468.23 is: 645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.42 : 935.79 = 468.23 : x
  2. Step 2: Convert to fraction form
    678.42/935.79 = 468.23/x
  3. Step 3: Cross multiply
    678.42x = 935.79 × 468.23
  4. Step 4: Simplify right side
    678.42x = 438,164.95
  5. Step 5: Solve for x
    x = 438,164.95/678.42
  6. Step 6: Final answer
    x = 645.86

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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.