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Finding the Fourth Proportional to 713.40, 984.42 and 661.14

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Solution

The fourth proportional to 713.40, 984.42 and 661.14 is: 912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 984.42 = 661.14 : x
  2. Step 2: Convert to fraction form
    713.40/984.42 = 661.14/x
  3. Step 3: Cross multiply
    713.40x = 984.42 × 661.14
  4. Step 4: Simplify right side
    713.40x = 650,839.44
  5. Step 5: Solve for x
    x = 650,839.44/713.40
  6. Step 6: Final answer
    x = 912.31

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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.