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Finding the Fourth Proportional to 679.45, 936.07 and 513.40

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Solution

The fourth proportional to 679.45, 936.07 and 513.40 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.45 : 936.07 = 513.40 : x
  2. Step 2: Convert to fraction form
    679.45/936.07 = 513.40/x
  3. Step 3: Cross multiply
    679.45x = 936.07 × 513.40
  4. Step 4: Simplify right side
    679.45x = 480,578.34
  5. Step 5: Solve for x
    x = 480,578.34/679.45
  6. Step 6: Final answer
    x = 707.30

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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.