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Finding the Fourth Proportional to 713.36, 982.18 and 588.82

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Solution

The fourth proportional to 713.36, 982.18 and 588.82 is: 810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.36 : 982.18 = 588.82 : x
  2. Step 2: Convert to fraction form
    713.36/982.18 = 588.82/x
  3. Step 3: Cross multiply
    713.36x = 982.18 × 588.82
  4. Step 4: Simplify right side
    713.36x = 578,324.04
  5. Step 5: Solve for x
    x = 578,324.04/713.36
  6. Step 6: Final answer
    x = 810.71

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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.