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Finding the Fourth Proportional to 1,213.03, 1,674.03 and 716.10

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Solution

The fourth proportional to 1,213.03, 1,674.03 and 716.10 is: 988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.03 : 1,674.03 = 716.10 : x
  2. Step 2: Convert to fraction form
    1,213.03/1,674.03 = 716.10/x
  3. Step 3: Cross multiply
    1,213.03x = 1,674.03 × 716.10
  4. Step 4: Simplify right side
    1,213.03x = 1,198,772.88
  5. Step 5: Solve for x
    x = 1,198,772.88/1,213.03
  6. Step 6: Final answer
    x = 988.25

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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.