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Finding the Fourth Proportional to 741.50, 1,107 and 659.49

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Solution

The fourth proportional to 741.50, 1,107 and 659.49 is: 984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.50 : 1,107 = 659.49 : x
  2. Step 2: Convert to fraction form
    741.50/1,107 = 659.49/x
  3. Step 3: Cross multiply
    741.50x = 1,107 × 659.49
  4. Step 4: Simplify right side
    741.50x = 730,057.51
  5. Step 5: Solve for x
    x = 730,057.51/741.50
  6. Step 6: Final answer
    x = 984.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.