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Finding the Fourth Proportional to 700.08, 959.68 and 687.66

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Solution

The fourth proportional to 700.08, 959.68 and 687.66 is: 942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 959.68 = 687.66 : x
  2. Step 2: Convert to fraction form
    700.08/959.68 = 687.66/x
  3. Step 3: Cross multiply
    700.08x = 959.68 × 687.66
  4. Step 4: Simplify right side
    700.08x = 659,933.55
  5. Step 5: Solve for x
    x = 659,933.55/700.08
  6. Step 6: Final answer
    x = 942.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.