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Finding the Fourth Proportional to 719.50, 984.36 and 716.42

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Solution

The fourth proportional to 719.50, 984.36 and 716.42 is: 980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.50 : 984.36 = 716.42 : x
  2. Step 2: Convert to fraction form
    719.50/984.36 = 716.42/x
  3. Step 3: Cross multiply
    719.50x = 984.36 × 716.42
  4. Step 4: Simplify right side
    719.50x = 705,215.19
  5. Step 5: Solve for x
    x = 705,215.19/719.50
  6. Step 6: Final answer
    x = 980.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.