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Finding the Fourth Proportional to 781.10, 1,172.04 and 348.14

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Solution

The fourth proportional to 781.10, 1,172.04 and 348.14 is: 522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.10 : 1,172.04 = 348.14 : x
  2. Step 2: Convert to fraction form
    781.10/1,172.04 = 348.14/x
  3. Step 3: Cross multiply
    781.10x = 1,172.04 × 348.14
  4. Step 4: Simplify right side
    781.10x = 408,034.01
  5. Step 5: Solve for x
    x = 408,034.01/781.10
  6. Step 6: Final answer
    x = 522.38

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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.