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Finding the Fourth Proportional to 646, 967.68 and 537.44

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Solution

The fourth proportional to 646, 967.68 and 537.44 is: 805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646 : 967.68 = 537.44 : x
  2. Step 2: Convert to fraction form
    646/967.68 = 537.44/x
  3. Step 3: Cross multiply
    646x = 967.68 × 537.44
  4. Step 4: Simplify right side
    646x = 520,069.94
  5. Step 5: Solve for x
    x = 520,069.94/646
  6. Step 6: Final answer
    x = 805.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.