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Finding the Fourth Proportional to 782.63, 1,172.59 and 411.89

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Solution

The fourth proportional to 782.63, 1,172.59 and 411.89 is: 617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,172.59 = 411.89 : x
  2. Step 2: Convert to fraction form
    782.63/1,172.59 = 411.89/x
  3. Step 3: Cross multiply
    782.63x = 1,172.59 × 411.89
  4. Step 4: Simplify right side
    782.63x = 482,971.20
  5. Step 5: Solve for x
    x = 482,971.20/782.63
  6. Step 6: Final answer
    x = 617.11

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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.