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Finding the Fourth Proportional to 678.51, 937.17 and 548.51

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Solution

The fourth proportional to 678.51, 937.17 and 548.51 is: 757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.51 : 937.17 = 548.51 : x
  2. Step 2: Convert to fraction form
    678.51/937.17 = 548.51/x
  3. Step 3: Cross multiply
    678.51x = 937.17 × 548.51
  4. Step 4: Simplify right side
    678.51x = 514,042.43
  5. Step 5: Solve for x
    x = 514,042.43/678.51
  6. Step 6: Final answer
    x = 757.60

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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.