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Finding the Fourth Proportional to 782.52, 1,172.83 and 551.06

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Solution

The fourth proportional to 782.52, 1,172.83 and 551.06 is: 825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.52 : 1,172.83 = 551.06 : x
  2. Step 2: Convert to fraction form
    782.52/1,172.83 = 551.06/x
  3. Step 3: Cross multiply
    782.52x = 1,172.83 × 551.06
  4. Step 4: Simplify right side
    782.52x = 646,299.70
  5. Step 5: Solve for x
    x = 646,299.70/782.52
  6. Step 6: Final answer
    x = 825.92

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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.