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Finding the Fourth Proportional to 783.57, 1,172.61 and 739.18

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Solution

The fourth proportional to 783.57, 1,172.61 and 739.18 is: 1,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.57 : 1,172.61 = 739.18 : x
  2. Step 2: Convert to fraction form
    783.57/1,172.61 = 739.18/x
  3. Step 3: Cross multiply
    783.57x = 1,172.61 × 739.18
  4. Step 4: Simplify right side
    783.57x = 866,764.73
  5. Step 5: Solve for x
    x = 866,764.73/783.57
  6. Step 6: Final answer
    x = 1,106.17

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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.