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Finding the Fourth Proportional to 783.70, 1,173.71 and 738.14

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Solution

The fourth proportional to 783.70, 1,173.71 and 738.14 is: 1,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.70 : 1,173.71 = 738.14 : x
  2. Step 2: Convert to fraction form
    783.70/1,173.71 = 738.14/x
  3. Step 3: Cross multiply
    783.70x = 1,173.71 × 738.14
  4. Step 4: Simplify right side
    783.70x = 866,362.30
  5. Step 5: Solve for x
    x = 866,362.30/783.70
  6. Step 6: Final answer
    x = 1,105.48

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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.