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Finding the Fourth Proportional to 786.79, 1,180.42 and 348.03

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Solution

The fourth proportional to 786.79, 1,180.42 and 348.03 is: 522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.79 : 1,180.42 = 348.03 : x
  2. Step 2: Convert to fraction form
    786.79/1,180.42 = 348.03/x
  3. Step 3: Cross multiply
    786.79x = 1,180.42 × 348.03
  4. Step 4: Simplify right side
    786.79x = 410,815.84
  5. Step 5: Solve for x
    x = 410,815.84/786.79
  6. Step 6: Final answer
    x = 522.14

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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.