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Finding the Fourth Proportional to 782.35, 1,172.55 and 503.97

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Solution

The fourth proportional to 782.35, 1,172.55 and 503.97 is: 755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.35 : 1,172.55 = 503.97 : x
  2. Step 2: Convert to fraction form
    782.35/1,172.55 = 503.97/x
  3. Step 3: Cross multiply
    782.35x = 1,172.55 × 503.97
  4. Step 4: Simplify right side
    782.35x = 590,930.02
  5. Step 5: Solve for x
    x = 590,930.02/782.35
  6. Step 6: Final answer
    x = 755.33

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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.