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Finding the Fourth Proportional to 700.21, 966.50 and 438.22

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Solution

The fourth proportional to 700.21, 966.50 and 438.22 is: 604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.21 : 966.50 = 438.22 : x
  2. Step 2: Convert to fraction form
    700.21/966.50 = 438.22/x
  3. Step 3: Cross multiply
    700.21x = 966.50 × 438.22
  4. Step 4: Simplify right side
    700.21x = 423,539.63
  5. Step 5: Solve for x
    x = 423,539.63/700.21
  6. Step 6: Final answer
    x = 604.88

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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.