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Finding the Fourth Proportional to 679.61, 937.49 and 513.51

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Solution

The fourth proportional to 679.61, 937.49 and 513.51 is: 708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.61 : 937.49 = 513.51 : x
  2. Step 2: Convert to fraction form
    679.61/937.49 = 513.51/x
  3. Step 3: Cross multiply
    679.61x = 937.49 × 513.51
  4. Step 4: Simplify right side
    679.61x = 481,407.92
  5. Step 5: Solve for x
    x = 481,407.92/679.61
  6. Step 6: Final answer
    x = 708.36

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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.