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Finding the Fourth Proportional to 782.75, 1,172.90 and 295.53

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Solution

The fourth proportional to 782.75, 1,172.90 and 295.53 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,172.90 = 295.53 : x
  2. Step 2: Convert to fraction form
    782.75/1,172.90 = 295.53/x
  3. Step 3: Cross multiply
    782.75x = 1,172.90 × 295.53
  4. Step 4: Simplify right side
    782.75x = 346,627.14
  5. Step 5: Solve for x
    x = 346,627.14/782.75
  6. Step 6: Final answer
    x = 442.83

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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.