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Finding the Fourth Proportional to 700.56, 966.96 and 438.48

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Solution

The fourth proportional to 700.56, 966.96 and 438.48 is: 605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 966.96 = 438.48 : x
  2. Step 2: Convert to fraction form
    700.56/966.96 = 438.48/x
  3. Step 3: Cross multiply
    700.56x = 966.96 × 438.48
  4. Step 4: Simplify right side
    700.56x = 423,992.62
  5. Step 5: Solve for x
    x = 423,992.62/700.56
  6. Step 6: Final answer
    x = 605.22

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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.