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Finding the Fourth Proportional to 984.96, 1,357.56 and 724.14

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Solution

The fourth proportional to 984.96, 1,357.56 and 724.14 is: 998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,357.56 = 724.14 : x
  2. Step 2: Convert to fraction form
    984.96/1,357.56 = 724.14/x
  3. Step 3: Cross multiply
    984.96x = 1,357.56 × 724.14
  4. Step 4: Simplify right side
    984.96x = 983,063.50
  5. Step 5: Solve for x
    x = 983,063.50/984.96
  6. Step 6: Final answer
    x = 998.07

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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.