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Finding the Fourth Proportional to 713.24, 985.46 and 588.80

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Solution

The fourth proportional to 713.24, 985.46 and 588.80 is: 813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 985.46 = 588.80 : x
  2. Step 2: Convert to fraction form
    713.24/985.46 = 588.80/x
  3. Step 3: Cross multiply
    713.24x = 985.46 × 588.80
  4. Step 4: Simplify right side
    713.24x = 580,238.85
  5. Step 5: Solve for x
    x = 580,238.85/713.24
  6. Step 6: Final answer
    x = 813.53

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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.