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Finding the Fourth Proportional to 1,262.79, 1,893.88 and 532.27

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Solution

The fourth proportional to 1,262.79, 1,893.88 and 532.27 is: 798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.79 : 1,893.88 = 532.27 : x
  2. Step 2: Convert to fraction form
    1,262.79/1,893.88 = 532.27/x
  3. Step 3: Cross multiply
    1,262.79x = 1,893.88 × 532.27
  4. Step 4: Simplify right side
    1,262.79x = 1,008,058.54
  5. Step 5: Solve for x
    x = 1,008,058.54/1,262.79
  6. Step 6: Final answer
    x = 798.28

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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.