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Finding the Fourth Proportional to 849.70, 1,191.20 and 849.70

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Solution

The fourth proportional to 849.70, 1,191.20 and 849.70 is: 1,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.70 : 1,191.20 = 849.70 : x
  2. Step 2: Convert to fraction form
    849.70/1,191.20 = 849.70/x
  3. Step 3: Cross multiply
    849.70x = 1,191.20 × 849.70
  4. Step 4: Simplify right side
    849.70x = 1,012,162.64
  5. Step 5: Solve for x
    x = 1,012,162.64/849.70
  6. Step 6: Final answer
    x = 1,191.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.