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Finding the Fourth Proportional to 700.82, 965.73 and 501.09

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Solution

The fourth proportional to 700.82, 965.73 and 501.09 is: 690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.82 : 965.73 = 501.09 : x
  2. Step 2: Convert to fraction form
    700.82/965.73 = 501.09/x
  3. Step 3: Cross multiply
    700.82x = 965.73 × 501.09
  4. Step 4: Simplify right side
    700.82x = 483,917.65
  5. Step 5: Solve for x
    x = 483,917.65/700.82
  6. Step 6: Final answer
    x = 690.50

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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.