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Finding the Fourth Proportional to 678.28, 935.39 and 578.74

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Solution

The fourth proportional to 678.28, 935.39 and 578.74 is: 798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.28 : 935.39 = 578.74 : x
  2. Step 2: Convert to fraction form
    678.28/935.39 = 578.74/x
  3. Step 3: Cross multiply
    678.28x = 935.39 × 578.74
  4. Step 4: Simplify right side
    678.28x = 541,347.61
  5. Step 5: Solve for x
    x = 541,347.61/678.28
  6. Step 6: Final answer
    x = 798.12

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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.