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Finding the Fourth Proportional to 699.44, 964.68 and 522.32

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Solution

The fourth proportional to 699.44, 964.68 and 522.32 is: 720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.44 : 964.68 = 522.32 : x
  2. Step 2: Convert to fraction form
    699.44/964.68 = 522.32/x
  3. Step 3: Cross multiply
    699.44x = 964.68 × 522.32
  4. Step 4: Simplify right side
    699.44x = 503,871.66
  5. Step 5: Solve for x
    x = 503,871.66/699.44
  6. Step 6: Final answer
    x = 720.39

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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.