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Finding the Fourth Proportional to 781.78, 1,172.76 and 262.16

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Solution

The fourth proportional to 781.78, 1,172.76 and 262.16 is: 393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.78 : 1,172.76 = 262.16 : x
  2. Step 2: Convert to fraction form
    781.78/1,172.76 = 262.16/x
  3. Step 3: Cross multiply
    781.78x = 1,172.76 × 262.16
  4. Step 4: Simplify right side
    781.78x = 307,450.76
  5. Step 5: Solve for x
    x = 307,450.76/781.78
  6. Step 6: Final answer
    x = 393.27

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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.