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Finding the Fourth Proportional to 699.36, 965.28 and 513.12

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Solution

The fourth proportional to 699.36, 965.28 and 513.12 is: 708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.36 : 965.28 = 513.12 : x
  2. Step 2: Convert to fraction form
    699.36/965.28 = 513.12/x
  3. Step 3: Cross multiply
    699.36x = 965.28 × 513.12
  4. Step 4: Simplify right side
    699.36x = 495,304.47
  5. Step 5: Solve for x
    x = 495,304.47/699.36
  6. Step 6: Final answer
    x = 708.23

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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.