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Finding the Fourth Proportional to 1,147.35, 1,581.49 and 774.20

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Solution

The fourth proportional to 1,147.35, 1,581.49 and 774.20 is: 1,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.35 : 1,581.49 = 774.20 : x
  2. Step 2: Convert to fraction form
    1,147.35/1,581.49 = 774.20/x
  3. Step 3: Cross multiply
    1,147.35x = 1,581.49 × 774.20
  4. Step 4: Simplify right side
    1,147.35x = 1,224,389.56
  5. Step 5: Solve for x
    x = 1,224,389.56/1,147.35
  6. Step 6: Final answer
    x = 1,067.15

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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.