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Finding the Fourth Proportional to 718.80, 982.96 and 718.80

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Solution

The fourth proportional to 718.80, 982.96 and 718.80 is: 982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.80 : 982.96 = 718.80 : x
  2. Step 2: Convert to fraction form
    718.80/982.96 = 718.80/x
  3. Step 3: Cross multiply
    718.80x = 982.96 × 718.80
  4. Step 4: Simplify right side
    718.80x = 706,550.95
  5. Step 5: Solve for x
    x = 706,550.95/718.80
  6. Step 6: Final answer
    x = 982.96

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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.