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Finding the Fourth Proportional to 782.57, 1,172.87 and 596.08

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Solution

The fourth proportional to 782.57, 1,172.87 and 596.08 is: 893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,172.87 = 596.08 : x
  2. Step 2: Convert to fraction form
    782.57/1,172.87 = 596.08/x
  3. Step 3: Cross multiply
    782.57x = 1,172.87 × 596.08
  4. Step 4: Simplify right side
    782.57x = 699,124.35
  5. Step 5: Solve for x
    x = 699,124.35/782.57
  6. Step 6: Final answer
    x = 893.37

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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.