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Finding the Fourth Proportional to 713.42, 982.59 and 703.70

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Solution

The fourth proportional to 713.42, 982.59 and 703.70 is: 969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 982.59 = 703.70 : x
  2. Step 2: Convert to fraction form
    713.42/982.59 = 703.70/x
  3. Step 3: Cross multiply
    713.42x = 982.59 × 703.70
  4. Step 4: Simplify right side
    713.42x = 691,448.58
  5. Step 5: Solve for x
    x = 691,448.58/713.42
  6. Step 6: Final answer
    x = 969.20

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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.