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Finding the Fourth Proportional to 700.22, 965.70 and 513.68

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Solution

The fourth proportional to 700.22, 965.70 and 513.68 is: 708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 965.70 = 513.68 : x
  2. Step 2: Convert to fraction form
    700.22/965.70 = 513.68/x
  3. Step 3: Cross multiply
    700.22x = 965.70 × 513.68
  4. Step 4: Simplify right side
    700.22x = 496,055.95
  5. Step 5: Solve for x
    x = 496,055.95/700.22
  6. Step 6: Final answer
    x = 708.43

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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.