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Finding the Fourth Proportional to 1,193.07, 1,647.03 and 774.03

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Solution

The fourth proportional to 1,193.07, 1,647.03 and 774.03 is: 1,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.07 : 1,647.03 = 774.03 : x
  2. Step 2: Convert to fraction form
    1,193.07/1,647.03 = 774.03/x
  3. Step 3: Cross multiply
    1,193.07x = 1,647.03 × 774.03
  4. Step 4: Simplify right side
    1,193.07x = 1,274,850.63
  5. Step 5: Solve for x
    x = 1,274,850.63/1,193.07
  6. Step 6: Final answer
    x = 1,068.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.