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Finding the Fourth Proportional to 713.16, 982.80 and 588.06

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Solution

The fourth proportional to 713.16, 982.80 and 588.06 is: 810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 982.80 = 588.06 : x
  2. Step 2: Convert to fraction form
    713.16/982.80 = 588.06/x
  3. Step 3: Cross multiply
    713.16x = 982.80 × 588.06
  4. Step 4: Simplify right side
    713.16x = 577,945.37
  5. Step 5: Solve for x
    x = 577,945.37/713.16
  6. Step 6: Final answer
    x = 810.40

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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.