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Finding the Fourth Proportional to 623.76, 936.12 and 537.36

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Solution

The fourth proportional to 623.76, 936.12 and 537.36 is: 806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.76 : 936.12 = 537.36 : x
  2. Step 2: Convert to fraction form
    623.76/936.12 = 537.36/x
  3. Step 3: Cross multiply
    623.76x = 936.12 × 537.36
  4. Step 4: Simplify right side
    623.76x = 503,033.44
  5. Step 5: Solve for x
    x = 503,033.44/623.76
  6. Step 6: Final answer
    x = 806.45

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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.