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Finding the Fourth Proportional to 699.33, 963.86 and 512.42

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Solution

The fourth proportional to 699.33, 963.86 and 512.42 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.33 : 963.86 = 512.42 : x
  2. Step 2: Convert to fraction form
    699.33/963.86 = 512.42/x
  3. Step 3: Cross multiply
    699.33x = 963.86 × 512.42
  4. Step 4: Simplify right side
    699.33x = 493,900.99
  5. Step 5: Solve for x
    x = 493,900.99/699.33
  6. Step 6: Final answer
    x = 706.25

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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.