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Finding the Fourth Proportional to 780.67, 1,172.13 and 522.28

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Solution

The fourth proportional to 780.67, 1,172.13 and 522.28 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.67 : 1,172.13 = 522.28 : x
  2. Step 2: Convert to fraction form
    780.67/1,172.13 = 522.28/x
  3. Step 3: Cross multiply
    780.67x = 1,172.13 × 522.28
  4. Step 4: Simplify right side
    780.67x = 612,180.06
  5. Step 5: Solve for x
    x = 612,180.06/780.67
  6. Step 6: Final answer
    x = 784.17

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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.