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Finding the Fourth Proportional to 699.68, 965.88 and 513.18

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Solution

The fourth proportional to 699.68, 965.88 and 513.18 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.68 : 965.88 = 513.18 : x
  2. Step 2: Convert to fraction form
    699.68/965.88 = 513.18/x
  3. Step 3: Cross multiply
    699.68x = 965.88 × 513.18
  4. Step 4: Simplify right side
    699.68x = 495,670.30
  5. Step 5: Solve for x
    x = 495,670.30/699.68
  6. Step 6: Final answer
    x = 708.42

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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.